What is the Least Common Multiple of 21250 and 21262?

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 21262 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 21262, than apply into the LCM equation.

GCF(21250,21262) = 2
LCM(21250,21262) = ( 21250 × 21262) / 2
LCM(21250,21262) = 451817500 / 2
LCM(21250,21262) = 225908750

Least Common Multiple (LCM) of 21250 and 21262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21250 and 21262. First we will calculate the prime factors of 21250 and 21262.

Prime Factorization of 21250

Prime Factorization of 21262

Now multiplying the highest exponent prime factors to calculate the LCM of 21250 and 21262.

LCM(21250,21262) = 2¹ × 5⁴ × 17¹ × 10631¹
LCM(21250,21262) = 225908750