LCM for 60 and 110

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 60 and 110?

Answer

LCM of 60 and 110 is 660

(Six hundred sixty)

Finding LCM for 60 and 110 using GCF of these numbers

The first method to find LCM for numbers 60 and 110 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 110 is 10, so

LCM = (60 × 110) ÷ 10

LCM = 6600 ÷ 10

LCM = 660

Finding LCM for 60 and 110 by Listing Multiples

The second method to find LCM for numbers 60 and 110 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780

Multiples of 110: 110, 220, 330, 440, 550, 660, 770, 880

So the LCM for 60 and 110 is 660

Finding LCM for 60 and 110 by Prime Factorization

Another method to find LCM for numbers 60 and 110 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 110: 2, 5, 11 (exponent form: 21, 51, 111)

22 × 31 × 51 × 111 = 660

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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 60 and 110? (The answer is: 660). Select the first number (e.g. '60') and the second number (e.g. '110'). 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
45110990
461102530
471105170
481102640
491105390
50110550
511105610
521102860
531105830
541102970
55110110
561103080
571106270
581103190
591106490
60110660
611106710
621103410
631106930
641103520
651101430
66110330
671107370
681103740
691107590
70110770
711107810
721103960
731108030
741104070

FAQ

What's the Least Common Multiple (LCM) of 60 and 110?

LCM of 60 and 110 is 660

How to find the LCM of 60 and 110 using prime factorization?

To find the LCM of 60 and 110, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 660.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 60 and 110: LCM = 660, GCF = 10.

See Also