What is the Least Common Multiple of 66216 and 66234?

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 66234 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 66234, than apply into the LCM equation.

GCF(66216,66234) = 6
LCM(66216,66234) = ( 66216 × 66234) / 6
LCM(66216,66234) = 4385750544 / 6
LCM(66216,66234) = 730958424

Least Common Multiple (LCM) of 66216 and 66234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66216 and 66234. First we will calculate the prime factors of 66216 and 66234.

Prime Factorization of 66216

Prime Factorization of 66234

Now multiplying the highest exponent prime factors to calculate the LCM of 66216 and 66234.

LCM(66216,66234) = 2³ × 3¹ × 31¹ × 89¹ × 7¹ × 19¹ × 83¹
LCM(66216,66234) = 730958424