What is the Least Common Multiple of 66096 and 66114?

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 66096 and 66114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66096 and 66114, than apply into the LCM equation.

GCF(66096,66114) = 18
LCM(66096,66114) = ( 66096 × 66114) / 18
LCM(66096,66114) = 4369870944 / 18
LCM(66096,66114) = 242770608

Least Common Multiple (LCM) of 66096 and 66114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66096 and 66114. First we will calculate the prime factors of 66096 and 66114.

Prime Factorization of 66096

Prime Factorization of 66114

Now multiplying the highest exponent prime factors to calculate the LCM of 66096 and 66114.

LCM(66096,66114) = 2⁴ × 3⁵ × 17¹ × 3673¹
LCM(66096,66114) = 242770608