What is the Least Common Multiple of 36588 and 36608?

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 36588 and 36608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36588 and 36608, than apply into the LCM equation.

GCF(36588,36608) = 4
LCM(36588,36608) = ( 36588 × 36608) / 4
LCM(36588,36608) = 1339413504 / 4
LCM(36588,36608) = 334853376

Least Common Multiple (LCM) of 36588 and 36608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36588 and 36608. First we will calculate the prime factors of 36588 and 36608.

Prime Factorization of 36588

Prime Factorization of 36608

Now multiplying the highest exponent prime factors to calculate the LCM of 36588 and 36608.

LCM(36588,36608) = 2⁸ × 3¹ × 3049¹ × 11¹ × 13¹
LCM(36588,36608) = 334853376