What is the Least Common Multiple of 21175 and 21192?

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 21175 and 21192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21175 and 21192, than apply into the LCM equation.

GCF(21175,21192) = 1
LCM(21175,21192) = ( 21175 × 21192) / 1
LCM(21175,21192) = 448740600 / 1
LCM(21175,21192) = 448740600

Least Common Multiple (LCM) of 21175 and 21192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21175 and 21192. First we will calculate the prime factors of 21175 and 21192.

Prime Factorization of 21175

Prime Factorization of 21192

Now multiplying the highest exponent prime factors to calculate the LCM of 21175 and 21192.

LCM(21175,21192) = 5² × 7¹ × 11² × 2³ × 3¹ × 883¹
LCM(21175,21192) = 448740600