What is the Least Common Multiple of 21045 and 21057?

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 21045 and 21057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21045 and 21057, than apply into the LCM equation.

GCF(21045,21057) = 3
LCM(21045,21057) = ( 21045 × 21057) / 3
LCM(21045,21057) = 443144565 / 3
LCM(21045,21057) = 147714855

Least Common Multiple (LCM) of 21045 and 21057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21045 and 21057. First we will calculate the prime factors of 21045 and 21057.

Prime Factorization of 21045

Prime Factorization of 21057

Now multiplying the highest exponent prime factors to calculate the LCM of 21045 and 21057.

LCM(21045,21057) = 3¹ × 5¹ × 23¹ × 61¹ × 7019¹
LCM(21045,21057) = 147714855