What is the Least Common Multiple of 21057 and 21075?

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 21057 and 21075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21057 and 21075, than apply into the LCM equation.

GCF(21057,21075) = 3
LCM(21057,21075) = ( 21057 × 21075) / 3
LCM(21057,21075) = 443776275 / 3
LCM(21057,21075) = 147925425

Least Common Multiple (LCM) of 21057 and 21075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21057 and 21075. First we will calculate the prime factors of 21057 and 21075.

Prime Factorization of 21057

Prime Factorization of 21075

Now multiplying the highest exponent prime factors to calculate the LCM of 21057 and 21075.

LCM(21057,21075) = 3¹ × 7019¹ × 5² × 281¹
LCM(21057,21075) = 147925425