What is the Least Common Multiple of 21250 and 21264?

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 21250 and 21264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21250 and 21264, than apply into the LCM equation.

GCF(21250,21264) = 2
LCM(21250,21264) = ( 21250 × 21264) / 2
LCM(21250,21264) = 451860000 / 2
LCM(21250,21264) = 225930000

Least Common Multiple (LCM) of 21250 and 21264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21250 and 21264. First we will calculate the prime factors of 21250 and 21264.

Prime Factorization of 21250

Prime Factorization of 21264

Now multiplying the highest exponent prime factors to calculate the LCM of 21250 and 21264.

LCM(21250,21264) = 2⁴ × 5⁴ × 17¹ × 3¹ × 443¹
LCM(21250,21264) = 225930000