What is the Least Common Multiple of 21375 and 21382?

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 21375 and 21382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21375 and 21382, than apply into the LCM equation.

GCF(21375,21382) = 1
LCM(21375,21382) = ( 21375 × 21382) / 1
LCM(21375,21382) = 457040250 / 1
LCM(21375,21382) = 457040250

Least Common Multiple (LCM) of 21375 and 21382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21375 and 21382. First we will calculate the prime factors of 21375 and 21382.

Prime Factorization of 21375

Prime Factorization of 21382

Now multiplying the highest exponent prime factors to calculate the LCM of 21375 and 21382.

LCM(21375,21382) = 3² × 5³ × 19¹ × 2¹ × 10691¹
LCM(21375,21382) = 457040250