What is the Least Common Multiple of 45216 and 45221?

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 45216 and 45221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45216 and 45221, than apply into the LCM equation.

GCF(45216,45221) = 1
LCM(45216,45221) = ( 45216 × 45221) / 1
LCM(45216,45221) = 2044712736 / 1
LCM(45216,45221) = 2044712736

Least Common Multiple (LCM) of 45216 and 45221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45216 and 45221. First we will calculate the prime factors of 45216 and 45221.

Prime Factorization of 45216

Prime Factorization of 45221

Now multiplying the highest exponent prime factors to calculate the LCM of 45216 and 45221.

LCM(45216,45221) = 2⁵ × 3² × 157¹ × 11¹ × 4111¹
LCM(45216,45221) = 2044712736