LCM for 60 and 420

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 60 and 420?

Answer

LCM of 60 and 420 is 420

(Four hundred twenty)

Finding LCM for 60 and 420 using GCF of these numbers

The first method to find LCM for numbers 60 and 420 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 420 is 60, so

LCM = (60 × 420) ÷ 60

LCM = 25200 ÷ 60

LCM = 420

Finding LCM for 60 and 420 by Listing Multiples

The second method to find LCM for numbers 60 and 420 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

Multiples of 420: 420, 840, 1260

So the LCM for 60 and 420 is 420

Finding LCM for 60 and 420 by Prime Factorization

Another method to find LCM for numbers 60 and 420 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 420: 2, 2, 3, 5, 7 (exponent form: 22, 31, 51, 71)

22 × 31 × 51 × 71 = 420

Related Calculations

See Also

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 420? (The answer is: 420). Select the first number (e.g. '60') and the second number (e.g. '420'). 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
454201260
464209660
4742019740
484201680
494202940
504202100
514207140
524205460
5342022260
544203780
554204620
56420840
574207980
5842012180
5942024780
60420420
6142025620
6242013020
634201260
644206720
654205460
664204620
6742028140
684207140
694209660
70420420
7142029820
724202520
7342030660
7442015540

FAQ

What's the Least Common Multiple (LCM) of 60 and 420?

LCM of 60 and 420 is 420

How to find the LCM of 60 and 420 using prime factorization?

To find the LCM of 60 and 420, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 420.

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 420: LCM = 420, GCF = 60.

See Also