What is the Least Common Multiple of 66096 and 66112?

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 66112 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 66112, than apply into the LCM equation.

GCF(66096,66112) = 16
LCM(66096,66112) = ( 66096 × 66112) / 16
LCM(66096,66112) = 4369738752 / 16
LCM(66096,66112) = 273108672

Least Common Multiple (LCM) of 66096 and 66112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66096 and 66112. First we will calculate the prime factors of 66096 and 66112.

Prime Factorization of 66096

Prime Factorization of 66112

Now multiplying the highest exponent prime factors to calculate the LCM of 66096 and 66112.

LCM(66096,66112) = 2⁶ × 3⁵ × 17¹ × 1033¹
LCM(66096,66112) = 273108672