What is the Least Common Multiple of 36338 and 36352?

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 36338 and 36352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36338 and 36352, than apply into the LCM equation.

GCF(36338,36352) = 2
LCM(36338,36352) = ( 36338 × 36352) / 2
LCM(36338,36352) = 1320958976 / 2
LCM(36338,36352) = 660479488

Least Common Multiple (LCM) of 36338 and 36352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36338 and 36352. First we will calculate the prime factors of 36338 and 36352.

Prime Factorization of 36338

Prime Factorization of 36352

Now multiplying the highest exponent prime factors to calculate the LCM of 36338 and 36352.

LCM(36338,36352) = 2⁹ × 18169¹ × 71¹
LCM(36338,36352) = 660479488