What is the Least Common Multiple of 36460 and 36468?

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 36460 and 36468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36460 and 36468, than apply into the LCM equation.

GCF(36460,36468) = 4
LCM(36460,36468) = ( 36460 × 36468) / 4
LCM(36460,36468) = 1329623280 / 4
LCM(36460,36468) = 332405820

Least Common Multiple (LCM) of 36460 and 36468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36460 and 36468. First we will calculate the prime factors of 36460 and 36468.

Prime Factorization of 36460

Prime Factorization of 36468

Now multiplying the highest exponent prime factors to calculate the LCM of 36460 and 36468.

LCM(36460,36468) = 2² × 5¹ × 1823¹ × 3² × 1013¹
LCM(36460,36468) = 332405820