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LCM for 45 and 30

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 45 and 30?

Answer

LCM of 45 and 30 is 90

(Ninety)

Finding LCM for 45 and 30 using GCF of these numbers

The first method to find LCM for numbers 45 and 30 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 45 and 30 is 15, so

LCM = (45 × 30) ÷ 15

LCM = 1350 ÷ 15

LCM = 90

Finding LCM for 45 and 30 by Listing Multiples

The second method to find LCM for numbers 45 and 30 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 45: 45, 90, 135, 180

Multiples of 30: 30, 60, 90, 120, 150

So the LCM for 45 and 30 is 90

Finding LCM for 45 and 30 by Prime Factorization

Another method to find LCM for numbers 45 and 30 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 30: 2, 3, 5 (exponent form: 21, 31, 51)

32 × 51 × 21 = 90

Related Calculations

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What is the LCM of 45 and 30?. The LCM of 45 and 30 is 90 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
451545
4516720
4517765
451890
4519855
4520180
4521315
4522990
45231035
4524360
4525225
45261170
4527135
45281260
45291305
453090
45311395
45321440
4533495
45341530
4535315
4536180
45371665
45381710
4539585
4540360
45411845
4542630
45431935
45441980

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 30? (The answer is: 90). Select the first number (e.g. '45') and the second number (e.g. '30'). 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 30?

LCM of 45 and 30 is 90

How to find the LCM of 45 and 30 using prime factorization?

To find the LCM of 45 and 30, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 90.

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 30: LCM = 90, GCF = 15.

See Also