What is the Least Common Multiple of 36432 and 36438?

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 36432 and 36438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36432 and 36438, than apply into the LCM equation.

GCF(36432,36438) = 6
LCM(36432,36438) = ( 36432 × 36438) / 6
LCM(36432,36438) = 1327509216 / 6
LCM(36432,36438) = 221251536

Least Common Multiple (LCM) of 36432 and 36438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36432 and 36438. First we will calculate the prime factors of 36432 and 36438.

Prime Factorization of 36432

Prime Factorization of 36438

Now multiplying the highest exponent prime factors to calculate the LCM of 36432 and 36438.

LCM(36432,36438) = 2⁴ × 3² × 11¹ × 23¹ × 6073¹
LCM(36432,36438) = 221251536