What is the Least Common Multiple of 73587 and 73607?

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 73587 and 73607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73587 and 73607, than apply into the LCM equation.

GCF(73587,73607) = 1
LCM(73587,73607) = ( 73587 × 73607) / 1
LCM(73587,73607) = 5416518309 / 1
LCM(73587,73607) = 5416518309

Least Common Multiple (LCM) of 73587 and 73607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73587 and 73607. First we will calculate the prime factors of 73587 and 73607.

Prime Factorization of 73587

Prime Factorization of 73607

Now multiplying the highest exponent prime factors to calculate the LCM of 73587 and 73607.

LCM(73587,73607) = 3¹ × 19¹ × 1291¹ × 73607¹
LCM(73587,73607) = 5416518309