What is the Least Common Multiple of 53385 and 53404?

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 53385 and 53404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53385 and 53404, than apply into the LCM equation.

GCF(53385,53404) = 1
LCM(53385,53404) = ( 53385 × 53404) / 1
LCM(53385,53404) = 2850972540 / 1
LCM(53385,53404) = 2850972540

Least Common Multiple (LCM) of 53385 and 53404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53385 and 53404. First we will calculate the prime factors of 53385 and 53404.

Prime Factorization of 53385

Prime Factorization of 53404

Now multiplying the highest exponent prime factors to calculate the LCM of 53385 and 53404.

LCM(53385,53404) = 3¹ × 5¹ × 3559¹ × 2² × 13² × 79¹
LCM(53385,53404) = 2850972540