What is the Least Common Multiple of 65588 and 65607?

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 65588 and 65607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65588 and 65607, than apply into the LCM equation.

GCF(65588,65607) = 19
LCM(65588,65607) = ( 65588 × 65607) / 19
LCM(65588,65607) = 4303031916 / 19
LCM(65588,65607) = 226475364

Least Common Multiple (LCM) of 65588 and 65607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65588 and 65607. First we will calculate the prime factors of 65588 and 65607.

Prime Factorization of 65588

Prime Factorization of 65607

Now multiplying the highest exponent prime factors to calculate the LCM of 65588 and 65607.

LCM(65588,65607) = 2² × 19¹ × 863¹ × 3¹ × 1151¹
LCM(65588,65607) = 226475364