What is the Least Common Multiple of 21486 and 21503?

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 21486 and 21503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21486 and 21503, than apply into the LCM equation.

GCF(21486,21503) = 1
LCM(21486,21503) = ( 21486 × 21503) / 1
LCM(21486,21503) = 462013458 / 1
LCM(21486,21503) = 462013458

Least Common Multiple (LCM) of 21486 and 21503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21486 and 21503. First we will calculate the prime factors of 21486 and 21503.

Prime Factorization of 21486

Prime Factorization of 21503

Now multiplying the highest exponent prime factors to calculate the LCM of 21486 and 21503.

LCM(21486,21503) = 2¹ × 3¹ × 3581¹ × 21503¹
LCM(21486,21503) = 462013458