What is the Least Common Multiple of 53496 and 53507?

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 53496 and 53507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53496 and 53507, than apply into the LCM equation.

GCF(53496,53507) = 1
LCM(53496,53507) = ( 53496 × 53507) / 1
LCM(53496,53507) = 2862410472 / 1
LCM(53496,53507) = 2862410472

Least Common Multiple (LCM) of 53496 and 53507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53496 and 53507. First we will calculate the prime factors of 53496 and 53507.

Prime Factorization of 53496

Prime Factorization of 53507

Now multiplying the highest exponent prime factors to calculate the LCM of 53496 and 53507.

LCM(53496,53507) = 2³ × 3² × 743¹ × 53507¹
LCM(53496,53507) = 2862410472