LCM for 20 and 150

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 20 and 150?

Answer

LCM of 20 and 150 is 300

(Three hundred)

Finding LCM for 20 and 150 using GCF of these numbers

The first method to find LCM for numbers 20 and 150 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 20 and 150 is 10, so

LCM = (20 × 150) ÷ 10

LCM = 3000 ÷ 10

LCM = 300

Finding LCM for 20 and 150 by Listing Multiples

The second method to find LCM for numbers 20 and 150 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340

Multiples of 150: 150, 300, 450, 600

So the LCM for 20 and 150 is 300

Finding LCM for 20 and 150 by Prime Factorization

Another method to find LCM for numbers 20 and 150 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 20: 2, 2, 5 (exponent form: 22, 51)

All Prime Factors of 150: 2, 3, 5, 5 (exponent form: 21, 31, 52)

22 × 52 × 31 = 300

Related Calculations

See Also

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 20 and 150? (The answer is: 300). Select the first number (e.g. '20') and the second number (e.g. '150'). 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

LCM Table

Number 1Number 2LCM
204040
2044220
2045180
2048240
2050100
20511020
20531060
2054540
2055220
2058580
206060
20100100
20125500
20135540
20145580
20150300
20160160
20165660
20170340
20175700
20190380
20210420
20220220
20225900
20230460
202551020
202751100
202851140
20290580
202951180

FAQ

What's the Least Common Multiple (LCM) of 20 and 150?

LCM of 20 and 150 is 300

How to find the LCM of 20 and 150 using prime factorization?

To find the LCM of 20 and 150, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 300.

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 20 and 150: LCM = 300, GCF = 10.

See Also