What is the Least Common Multiple of 53440 and 53460?

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 53440 and 53460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53440 and 53460, than apply into the LCM equation.

GCF(53440,53460) = 20
LCM(53440,53460) = ( 53440 × 53460) / 20
LCM(53440,53460) = 2856902400 / 20
LCM(53440,53460) = 142845120

Least Common Multiple (LCM) of 53440 and 53460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53440 and 53460. First we will calculate the prime factors of 53440 and 53460.

Prime Factorization of 53440

Prime Factorization of 53460

Now multiplying the highest exponent prime factors to calculate the LCM of 53440 and 53460.

LCM(53440,53460) = 2⁶ × 5¹ × 167¹ × 3⁵ × 11¹
LCM(53440,53460) = 142845120