LCM for 45 and 120

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 45 and 120?

Answer: LCM of 45 and 120 is 360

(Three hundred sixty)

Finding LCM for 45 and 120 using GCF's of these numbers

The first method to find LCM for numbers 45 and 120 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 45 and 120 is 15, so

LCM = (45 × 120) ÷ 15

LCM = 5400 ÷ 15

LCM = 360

Finding LCM for 45 and 120 by Listing Multiples

The second method to find LCM for numbers 45 and 120 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 45: 45, 90, 135, 180, 225, 270, 315, 360, 405, 450

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

So the LCM for 45 and 120 is 360

Finding LCM for 45 and 120 by Prime Factorization

Another method to find LCM for numbers 45 and 120 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 120: 2, 2, 2, 3, 5 (exponent form: 23, 31, 51)

32 × 51 × 23 = 360

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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 45 and 120? (The answer is: 360). Select the first number (e.g. '45') 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
30120120
311203720
32120480
331201320
341202040
35120840
36120360
371204440
381202280
391201560
40120120
411204920
42120840
431205160
441201320
45120360
461202760
471205640
48120240
491205880
50120600
511202040
521201560
531206360
541201080
551201320
56120840
571202280
581203480
591207080

FAQ

What's the Least Common Multiple (LCM) of 45 and 120?

LCM of 45 and 120 is 360

See Also