What is the Least Common Multiple of 21216 and 21221?

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 21216 and 21221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21216 and 21221, than apply into the LCM equation.

GCF(21216,21221) = 1
LCM(21216,21221) = ( 21216 × 21221) / 1
LCM(21216,21221) = 450224736 / 1
LCM(21216,21221) = 450224736

Least Common Multiple (LCM) of 21216 and 21221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21216 and 21221. First we will calculate the prime factors of 21216 and 21221.

Prime Factorization of 21216

Prime Factorization of 21221

Now multiplying the highest exponent prime factors to calculate the LCM of 21216 and 21221.

LCM(21216,21221) = 2⁵ × 3¹ × 13¹ × 17¹ × 21221¹
LCM(21216,21221) = 450224736