LCM for 60 and 114

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 60 and 114?

Answer: LCM of 60 and 114 is 1,140

(One thousand, one hundred forty)

Finding LCM for 60 and 114 using GCF's of these numbers

The first method to find LCM for numbers 60 and 114 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 114 is 6, so

LCM = (60 × 114) ÷ 6

LCM = 6840 ÷ 6

LCM = 1140

Finding LCM for 60 and 114 by Listing Multiples

The second method to find LCM for numbers 60 and 114 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020, 1080, 1140, 1200, 1260

Multiples of 114: 114, 228, 342, 456, 570, 684, 798, 912, 1026, 1140, 1254, 1368

So the LCM for 60 and 114 is 1140

Finding LCM for 60 and 114 by Prime Factorization

Another method to find LCM for numbers 60 and 114 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)

All Prime Factors of 114: 2, 3, 19 (exponent form: 21, 31, 191)

22 × 31 × 51 × 191 = 1140

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LCM Table

Number 1Number 2LCM
451141710
461142622
471145358
48114912
491145586
501142850
511141938
521142964
531146042
541141026
551146270
561143192
57114114
581143306
591146726
601141140
611146954
621143534
631142394
641143648
651147410
661141254
671147638
681143876
691142622
701143990
711148094
721141368
731148322
741144218

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 60 and 114? (The answer is: 1140). Select the first number (e.g. '60') and the second number (e.g. '114'). 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 60 and 114?

LCM of 60 and 114 is 1,140

See Also