LCM for 120 and 150

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 120 and 150?

Answer

LCM of 120 and 150 is
600

(Six hundred)

Finding LCM for 120 and 150 using GCF of these numbers

The first method to find LCM for numbers 120 and 150 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 120 and 150 is 30, so

LCM = (120 × 150) ÷ 30

LCM = 18,000 ÷ 30

LCM = 600

Finding LCM for 120 and 150 by Listing Multiples

The second method to find LCM for numbers 120 and 150 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 120: 120, 240, 360, 480, 600, 720, 840

Multiples of 150: 150, 300, 450, 600, 750, 900

So the LCM for 120 and 150 is 600

Finding LCM for 120 and 150 by Prime Factorization

Another method to find LCM for numbers 120 and 150 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 120: 2, 2, 2, 3, 5 (exponent form: 23, 31, 51)

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

23 × 31 × 52 = 600

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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 120 and 150? (The answer is: 600). Select the first number (e.g. '120') 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
Recalculate with different values ↑

LCM Table

Number 1Number 2LCM
1201351,080
1201362,040
12013716,440
1201382,760
12013916,680
120140840
1201415,640
1201428,520
12014317,160
120144720
1201453,480
1201468,760
1201475,880
1201484,440
12014917,880
120150600
12015118,120
1201522,280
1201536,120
1201549,240
1201553,720
1201561,560
12015718,840
1201589,480
1201596,360
120160480
12016119,320
1201623,240
12016319,560
1201644,920

FAQ

What's the Least Common Multiple (LCM) of 120 and 150?

LCM of 120 and 150 is 600

How to find the LCM of 120 and 150 using prime factorization?

To find the LCM of 120 and 150, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 600.

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 120 and 150: LCM = 600, GCF = 30.

See Also