What is the Least Common Multiple of 21036 and 21045?

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 21036 and 21045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21036 and 21045, than apply into the LCM equation.

GCF(21036,21045) = 3
LCM(21036,21045) = ( 21036 × 21045) / 3
LCM(21036,21045) = 442702620 / 3
LCM(21036,21045) = 147567540

Least Common Multiple (LCM) of 21036 and 21045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21036 and 21045. First we will calculate the prime factors of 21036 and 21045.

Prime Factorization of 21036

Prime Factorization of 21045

Now multiplying the highest exponent prime factors to calculate the LCM of 21036 and 21045.

LCM(21036,21045) = 2² × 3¹ × 1753¹ × 5¹ × 23¹ × 61¹
LCM(21036,21045) = 147567540