What is the Least Common Multiple of 21232 and 21250?

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 21232 and 21250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21232 and 21250, than apply into the LCM equation.

GCF(21232,21250) = 2
LCM(21232,21250) = ( 21232 × 21250) / 2
LCM(21232,21250) = 451180000 / 2
LCM(21232,21250) = 225590000

Least Common Multiple (LCM) of 21232 and 21250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21232 and 21250. First we will calculate the prime factors of 21232 and 21250.

Prime Factorization of 21232

Prime Factorization of 21250

Now multiplying the highest exponent prime factors to calculate the LCM of 21232 and 21250.

LCM(21232,21250) = 2⁴ × 1327¹ × 5⁴ × 17¹
LCM(21232,21250) = 225590000