What is the Least Common Multiple of 21675 and 21683?

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 21675 and 21683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21675 and 21683, than apply into the LCM equation.

GCF(21675,21683) = 1
LCM(21675,21683) = ( 21675 × 21683) / 1
LCM(21675,21683) = 469979025 / 1
LCM(21675,21683) = 469979025

Least Common Multiple (LCM) of 21675 and 21683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21675 and 21683. First we will calculate the prime factors of 21675 and 21683.

Prime Factorization of 21675

Prime Factorization of 21683

Now multiplying the highest exponent prime factors to calculate the LCM of 21675 and 21683.

LCM(21675,21683) = 3¹ × 5² × 17² × 21683¹
LCM(21675,21683) = 469979025