LCM for 60 and 216

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 60 and 216?

Answer: LCM of 60 and 216 is 1,080

(One thousand, eighty)

Finding LCM for 60 and 216 using GCF's of these numbers

The first method to find LCM for numbers 60 and 216 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 216 is 12, so

LCM = (60 × 216) ÷ 12

LCM = 12960 ÷ 12

LCM = 1080

Finding LCM for 60 and 216 by Listing Multiples

The second method to find LCM for numbers 60 and 216 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

Multiples of 216: 216, 432, 648, 864, 1080, 1296, 1512

So the LCM for 60 and 216 is 1080

Finding LCM for 60 and 216 by Prime Factorization

Another method to find LCM for numbers 60 and 216 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 216: 2, 2, 2, 3, 3, 3 (exponent form: 23, 33)

23 × 33 × 51 = 1080

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LCM Table

Number 1Number 2LCM
452161080
462164968
4721610152
48216432
4921610584
502165400
512163672
522162808
5321611448
54216216
5521611880
562161512
572164104
582166264
5921612744
602161080
6121613176
622166696
632161512
642161728
6521614040
662162376
6721614472
682163672
692164968
702167560
7121615336
72216216
7321615768
742167992

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 216? (The answer is: 1080). Select the first number (e.g. '60') and the second number (e.g. '216'). 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 216?

LCM of 60 and 216 is 1,080

See Also