What is the Least Common Multiple of 52674 and 52678?

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 52678 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 52678, than apply into the LCM equation.

GCF(52674,52678) = 2
LCM(52674,52678) = ( 52674 × 52678) / 2
LCM(52674,52678) = 2774760972 / 2
LCM(52674,52678) = 1387380486

Least Common Multiple (LCM) of 52674 and 52678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52674 and 52678. First we will calculate the prime factors of 52674 and 52678.

Prime Factorization of 52674

Prime Factorization of 52678

Now multiplying the highest exponent prime factors to calculate the LCM of 52674 and 52678.

LCM(52674,52678) = 2¹ × 3¹ × 8779¹ × 26339¹
LCM(52674,52678) = 1387380486