LCM for 105 and 120

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 105 and 120?

Answer: LCM of 105 and 120 is 840

(Eight hundred forty)

Finding LCM for 105 and 120 using GCF's of these numbers

The first method to find LCM for numbers 105 and 120 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 105 and 120 is 15, so

LCM = (105 × 120) ÷ 15

LCM = 12600 ÷ 15

LCM = 840

Finding LCM for 105 and 120 by Listing Multiples

The second method to find LCM for numbers 105 and 120 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 105: 105, 210, 315, 420, 525, 630, 735, 840, 945, 1050

Multiples of 120: 120, 240, 360, 480, 600, 720, 840, 960, 1080

So the LCM for 105 and 120 is 840

Finding LCM for 105 and 120 by Prime Factorization

Another method to find LCM for numbers 105 and 120 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 105: 3, 5, 7 (exponent form: 31, 51, 71)

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

31 × 51 × 71 × 23 = 840

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LCM Table

Number 1Number 2LCM
90120360
9112010920
921202760
931203720
941205640
951202280
96120480
9712011640
981205880
991203960
100120600
10112012120
1021202040
10312012360
1041201560
105120840
1061206360
10712012840
1081201080
10912013080
1101201320
1111204440
1121201680
11312013560
1141202280
1151202760
1161203480
1171204680
1181207080
11912014280

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 105 and 120? (The answer is: 840). Select the first number (e.g. '105') 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

FAQ

What's the Least Common Multiple (LCM) of 105 and 120?

LCM of 105 and 120 is 840

See Also