What is the Least Common Multiple of 52674 and 52688?

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 52674 and 52688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52674 and 52688, than apply into the LCM equation.

GCF(52674,52688) = 2
LCM(52674,52688) = ( 52674 × 52688) / 2
LCM(52674,52688) = 2775287712 / 2
LCM(52674,52688) = 1387643856

Least Common Multiple (LCM) of 52674 and 52688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52674 and 52688. First we will calculate the prime factors of 52674 and 52688.

Prime Factorization of 52674

Prime Factorization of 52688

Now multiplying the highest exponent prime factors to calculate the LCM of 52674 and 52688.

LCM(52674,52688) = 2⁴ × 3¹ × 8779¹ × 37¹ × 89¹
LCM(52674,52688) = 1387643856