What is the Least Common Multiple of 36438 and 36447?

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 36438 and 36447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36438 and 36447, than apply into the LCM equation.

GCF(36438,36447) = 3
LCM(36438,36447) = ( 36438 × 36447) / 3
LCM(36438,36447) = 1328055786 / 3
LCM(36438,36447) = 442685262

Least Common Multiple (LCM) of 36438 and 36447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36438 and 36447. First we will calculate the prime factors of 36438 and 36447.

Prime Factorization of 36438

Prime Factorization of 36447

Now multiplying the highest exponent prime factors to calculate the LCM of 36438 and 36447.

LCM(36438,36447) = 2¹ × 3¹ × 6073¹ × 12149¹
LCM(36438,36447) = 442685262