What is the Least Common Multiple of 66078 and 66096?

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 66078 and 66096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66078 and 66096, than apply into the LCM equation.

GCF(66078,66096) = 18
LCM(66078,66096) = ( 66078 × 66096) / 18
LCM(66078,66096) = 4367491488 / 18
LCM(66078,66096) = 242638416

Least Common Multiple (LCM) of 66078 and 66096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66078 and 66096. First we will calculate the prime factors of 66078 and 66096.

Prime Factorization of 66078

Prime Factorization of 66096

Now multiplying the highest exponent prime factors to calculate the LCM of 66078 and 66096.

LCM(66078,66096) = 2⁴ × 3⁵ × 3671¹ × 17¹
LCM(66078,66096) = 242638416