Feedback form
Hi! What do you think?

You can also email us on infocalculat.io

LCM for 45 and 60

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 45 and 60?

Answer

LCM of 45 and 60 is 180

(One hundred eighty)

Finding LCM for 45 and 60 using GCF of these numbers

The first method to find LCM for numbers 45 and 60 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 45 and 60 is 15, so

LCM = (45 × 60) ÷ 15

LCM = 2700 ÷ 15

LCM = 180

Finding LCM for 45 and 60 by Listing Multiples

The second method to find LCM for numbers 45 and 60 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 45: 45, 90, 135, 180, 225, 270

Multiples of 60: 60, 120, 180, 240, 300

So the LCM for 45 and 60 is 180

Finding LCM for 45 and 60 by Prime Factorization

Another method to find LCM for numbers 45 and 60 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 45: 3, 3, 5 (exponent form: 32, 51)

All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)

32 × 51 × 22 = 180

Related Calculations

See Also

Share This Calculation
Print
https://calculat.io/en/number/least-common-multiple-lcm-of/45--60Copy
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/45--60">What is the LCM of 45 and 60? - Calculatio</a>Copy
Facebook
Twitter
Telegram
WhatsApp
Viber
Email
What is the LCM of 45 and 60?. The LCM of 45 and 60 is 180 — the smallest common multiple of both integers.
https://calculat.io/en/number/least-common-multiple-lcm-of/45--60/generated.jpgCopy

LCM Table

Number 1Number 2LCM
454545
45462070
45472115
4548720
45492205
4550450
4551765
45522340
45532385
4554270
4555495
45562520
4557855
45582610
45592655
4560180
45612745
45622790
4563315
45642880
4565585
4566990
45673015
45683060
45691035
4570630
45713195
4572360
45733285
45743330

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 45 and 60? (The answer is: 180). Select the first number (e.g. '45') and the second number (e.g. '60'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

FAQ

What's the Least Common Multiple (LCM) of 45 and 60?

LCM of 45 and 60 is 180

How to find the LCM of 45 and 60 using prime factorization?

To find the LCM of 45 and 60, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 180.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 45 and 60: LCM = 180, GCF = 15.

See Also