What is the Least Common Multiple of 66216 and 66225?

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 66216 and 66225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66216 and 66225, than apply into the LCM equation.

GCF(66216,66225) = 3
LCM(66216,66225) = ( 66216 × 66225) / 3
LCM(66216,66225) = 4385154600 / 3
LCM(66216,66225) = 1461718200

Least Common Multiple (LCM) of 66216 and 66225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66216 and 66225. First we will calculate the prime factors of 66216 and 66225.

Prime Factorization of 66216

Prime Factorization of 66225

Now multiplying the highest exponent prime factors to calculate the LCM of 66216 and 66225.

LCM(66216,66225) = 2³ × 3¹ × 31¹ × 89¹ × 5² × 883¹
LCM(66216,66225) = 1461718200