What is the Least Common Multiple of 52611 and 52627?

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 52611 and 52627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52611 and 52627, than apply into the LCM equation.

GCF(52611,52627) = 1
LCM(52611,52627) = ( 52611 × 52627) / 1
LCM(52611,52627) = 2768759097 / 1
LCM(52611,52627) = 2768759097

Least Common Multiple (LCM) of 52611 and 52627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52611 and 52627. First we will calculate the prime factors of 52611 and 52627.

Prime Factorization of 52611

Prime Factorization of 52627

Now multiplying the highest exponent prime factors to calculate the LCM of 52611 and 52627.

LCM(52611,52627) = 3¹ × 13¹ × 19¹ × 71¹ × 52627¹
LCM(52611,52627) = 2768759097