What is the Least Common Multiple of 21250 and 21265?

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 21265 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 21265, than apply into the LCM equation.

GCF(21250,21265) = 5
LCM(21250,21265) = ( 21250 × 21265) / 5
LCM(21250,21265) = 451881250 / 5
LCM(21250,21265) = 90376250

Least Common Multiple (LCM) of 21250 and 21265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21250 and 21265. First we will calculate the prime factors of 21250 and 21265.

Prime Factorization of 21250

Prime Factorization of 21265

Now multiplying the highest exponent prime factors to calculate the LCM of 21250 and 21265.

LCM(21250,21265) = 2¹ × 5⁴ × 17¹ × 4253¹
LCM(21250,21265) = 90376250