What is the Least Common Multiple of 21493 and 21502?

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 21493 and 21502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21493 and 21502, than apply into the LCM equation.

GCF(21493,21502) = 1
LCM(21493,21502) = ( 21493 × 21502) / 1
LCM(21493,21502) = 462142486 / 1
LCM(21493,21502) = 462142486

Least Common Multiple (LCM) of 21493 and 21502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21493 and 21502. First we will calculate the prime factors of 21493 and 21502.

Prime Factorization of 21493

Prime Factorization of 21502

Now multiplying the highest exponent prime factors to calculate the LCM of 21493 and 21502.

LCM(21493,21502) = 21493¹ × 2¹ × 13¹ × 827¹
LCM(21493,21502) = 462142486