LCM for 75 and 120

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 75 and 120?

Answer: LCM of 75 and 120 is 600

(Six hundred)

Finding LCM for 75 and 120 using GCF's of these numbers

The first method to find LCM for numbers 75 and 120 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 75 and 120 is 15, so

LCM = (75 × 120) ÷ 15

LCM = 9000 ÷ 15

LCM = 600

Finding LCM for 75 and 120 by Listing Multiples

The second method to find LCM for numbers 75 and 120 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 75: 75, 150, 225, 300, 375, 450, 525, 600, 675, 750

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

So the LCM for 75 and 120 is 600

Finding LCM for 75 and 120 by Prime Factorization

Another method to find LCM for numbers 75 and 120 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 75: 3, 5, 5 (exponent form: 31, 52)

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

31 × 52 × 23 = 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 75 and 120? (The answer is: 600). Select the first number (e.g. '75') and the second number (e.g. '120'). 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
60120120
611207320
621203720
631202520
64120960
651201560
661201320
671208040
681202040
691202760
70120840
711208520
72120360
731208760
741204440
75120600
761202280
771209240
781201560
791209480
80120240
811203240
821204920
831209960
84120840
851202040
861205160
871203480
881201320
8912010680

FAQ

What's the Least Common Multiple (LCM) of 75 and 120?

LCM of 75 and 120 is 600

See Also