What is the Least Common Multiple of 5460 and 5476?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 5460 and 5476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5460 and 5476, than apply into the LCM equation.

GCF(5460,5476) = 4
LCM(5460,5476) = ( 5460 × 5476) / 4
LCM(5460,5476) = 29898960 / 4
LCM(5460,5476) = 7474740

Least Common Multiple (LCM) of 5460 and 5476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5460 and 5476. First we will calculate the prime factors of 5460 and 5476.

Prime Factorization of 5460

Prime Factorization of 5476

Now multiplying the highest exponent prime factors to calculate the LCM of 5460 and 5476.

LCM(5460,5476) = 2² × 3¹ × 5¹ × 7¹ × 13¹ × 37²
LCM(5460,5476) = 7474740