What is the Least Common Multiple of 66216 and 66236?

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 66236 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 66236, than apply into the LCM equation.

GCF(66216,66236) = 4
LCM(66216,66236) = ( 66216 × 66236) / 4
LCM(66216,66236) = 4385882976 / 4
LCM(66216,66236) = 1096470744

Least Common Multiple (LCM) of 66216 and 66236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66216 and 66236. First we will calculate the prime factors of 66216 and 66236.

Prime Factorization of 66216

Prime Factorization of 66236

Now multiplying the highest exponent prime factors to calculate the LCM of 66216 and 66236.

LCM(66216,66236) = 2³ × 3¹ × 31¹ × 89¹ × 29¹ × 571¹
LCM(66216,66236) = 1096470744