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 = 18000 ÷ 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

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 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

"Least Common Multiple" Calculator

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
1201351080
1201362040
12013716440
1201382760
12013916680
120140840
1201415640
1201428520
12014317160
120144720
1201453480
1201468760
1201475880
1201484440
12014917880
120150600
12015118120
1201522280
1201536120
1201549240
1201553720
1201561560
12015718840
1201589480
1201596360
120160480
12016119320
1201623240
12016319560
1201644920

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