What is the Least Common Multiple of 36417 and 36432?

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 36417 and 36432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36417 and 36432, than apply into the LCM equation.

GCF(36417,36432) = 3
LCM(36417,36432) = ( 36417 × 36432) / 3
LCM(36417,36432) = 1326744144 / 3
LCM(36417,36432) = 442248048

Least Common Multiple (LCM) of 36417 and 36432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36417 and 36432. First we will calculate the prime factors of 36417 and 36432.

Prime Factorization of 36417

Prime Factorization of 36432

Now multiplying the highest exponent prime factors to calculate the LCM of 36417 and 36432.

LCM(36417,36432) = 3² × 61¹ × 199¹ × 2⁴ × 11¹ × 23¹
LCM(36417,36432) = 442248048