What is the Least Common Multiple of 21234 and 21252?

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 21234 and 21252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21234 and 21252, than apply into the LCM equation.

GCF(21234,21252) = 6
LCM(21234,21252) = ( 21234 × 21252) / 6
LCM(21234,21252) = 451264968 / 6
LCM(21234,21252) = 75210828

Least Common Multiple (LCM) of 21234 and 21252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21234 and 21252. First we will calculate the prime factors of 21234 and 21252.

Prime Factorization of 21234

Prime Factorization of 21252

Now multiplying the highest exponent prime factors to calculate the LCM of 21234 and 21252.

LCM(21234,21252) = 2² × 3¹ × 3539¹ × 7¹ × 11¹ × 23¹
LCM(21234,21252) = 75210828