What is the Least Common Multiple of 52688 and 52693?

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 52688 and 52693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52688 and 52693, than apply into the LCM equation.

GCF(52688,52693) = 1
LCM(52688,52693) = ( 52688 × 52693) / 1
LCM(52688,52693) = 2776288784 / 1
LCM(52688,52693) = 2776288784

Least Common Multiple (LCM) of 52688 and 52693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52688 and 52693. First we will calculate the prime factors of 52688 and 52693.

Prime Factorization of 52688

Prime Factorization of 52693

Now multiplying the highest exponent prime factors to calculate the LCM of 52688 and 52693.

LCM(52688,52693) = 2⁴ × 37¹ × 89¹ × 23¹ × 29¹ × 79¹
LCM(52688,52693) = 2776288784