What is the Least Common Multiple of 53352 and 53360?

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 53352 and 53360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53352 and 53360, than apply into the LCM equation.

GCF(53352,53360) = 8
LCM(53352,53360) = ( 53352 × 53360) / 8
LCM(53352,53360) = 2846862720 / 8
LCM(53352,53360) = 355857840

Least Common Multiple (LCM) of 53352 and 53360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53352 and 53360. First we will calculate the prime factors of 53352 and 53360.

Prime Factorization of 53352

Prime Factorization of 53360

Now multiplying the highest exponent prime factors to calculate the LCM of 53352 and 53360.

LCM(53352,53360) = 2⁴ × 3³ × 13¹ × 19¹ × 5¹ × 23¹ × 29¹
LCM(53352,53360) = 355857840