What is the Least Common Multiple of 53508 and 53516?

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 53508 and 53516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53508 and 53516, than apply into the LCM equation.

GCF(53508,53516) = 4
LCM(53508,53516) = ( 53508 × 53516) / 4
LCM(53508,53516) = 2863534128 / 4
LCM(53508,53516) = 715883532

Least Common Multiple (LCM) of 53508 and 53516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53508 and 53516. First we will calculate the prime factors of 53508 and 53516.

Prime Factorization of 53508

Prime Factorization of 53516

Now multiplying the highest exponent prime factors to calculate the LCM of 53508 and 53516.

LCM(53508,53516) = 2² × 3¹ × 7³ × 13¹ × 17¹ × 787¹
LCM(53508,53516) = 715883532