What is the Least Common Multiple of 21218 and 21225?

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 21218 and 21225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21218 and 21225, than apply into the LCM equation.

GCF(21218,21225) = 1
LCM(21218,21225) = ( 21218 × 21225) / 1
LCM(21218,21225) = 450352050 / 1
LCM(21218,21225) = 450352050

Least Common Multiple (LCM) of 21218 and 21225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21218 and 21225. First we will calculate the prime factors of 21218 and 21225.

Prime Factorization of 21218

Prime Factorization of 21225

Now multiplying the highest exponent prime factors to calculate the LCM of 21218 and 21225.

LCM(21218,21225) = 2¹ × 103² × 3¹ × 5² × 283¹
LCM(21218,21225) = 450352050