LCM for 80 and 420

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 80 and 420?

Answer

LCM of 80 and 420 is 1,680

(One thousand, six hundred eighty)

Finding LCM for 80 and 420 using GCF of these numbers

The first method to find LCM for numbers 80 and 420 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 80 and 420 is 20, so

LCM = (80 × 420) ÷ 20

LCM = 33600 ÷ 20

LCM = 1680

Finding LCM for 80 and 420 by Listing Multiples

The second method to find LCM for numbers 80 and 420 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 80: 80, 160, 240, 320, 400, 480, 560, 640, 720, 800, 880, 960, 1040, 1120, 1200, 1280, 1360, 1440, 1520, 1600, 1680, 1760, 1840

Multiples of 420: 420, 840, 1260, 1680, 2100, 2520

So the LCM for 80 and 420 is 1680

Finding LCM for 80 and 420 by Prime Factorization

Another method to find LCM for numbers 80 and 420 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 80: 2, 2, 2, 2, 5 (exponent form: 24, 51)

All Prime Factors of 420: 2, 2, 3, 5, 7 (exponent form: 22, 31, 51, 71)

24 × 51 × 31 × 71 = 1680

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 80 and 420? (The answer is: 1680). Select the first number (e.g. '80') 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
654205460
664204620
6742028140
684207140
694209660
70420420
7142029820
724202520
7342030660
7442015540
754202100
764207980
774204620
784205460
7942033180
804201680
8142011340
8242017220
8342034860
84420420
854207140
8642018060
8742012180
884209240
8942037380
904201260
914205460
924209660
9342013020
9442019740

FAQ

What's the Least Common Multiple (LCM) of 80 and 420?

LCM of 80 and 420 is 1,680

How to find the LCM of 80 and 420 using prime factorization?

To find the LCM of 80 and 420, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,680.

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 80 and 420: LCM = 1,680, GCF = 20.

See Also