What is the Least Common Multiple of 21507 and 21512?

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 21507 and 21512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21507 and 21512, than apply into the LCM equation.

GCF(21507,21512) = 1
LCM(21507,21512) = ( 21507 × 21512) / 1
LCM(21507,21512) = 462658584 / 1
LCM(21507,21512) = 462658584

Least Common Multiple (LCM) of 21507 and 21512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21507 and 21512. First we will calculate the prime factors of 21507 and 21512.

Prime Factorization of 21507

Prime Factorization of 21512

Now multiplying the highest exponent prime factors to calculate the LCM of 21507 and 21512.

LCM(21507,21512) = 3¹ × 67¹ × 107¹ × 2³ × 2689¹
LCM(21507,21512) = 462658584