What is the Least Common Multiple of 66012 and 66032?

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 66012 and 66032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66012 and 66032, than apply into the LCM equation.

GCF(66012,66032) = 4
LCM(66012,66032) = ( 66012 × 66032) / 4
LCM(66012,66032) = 4358904384 / 4
LCM(66012,66032) = 1089726096

Least Common Multiple (LCM) of 66012 and 66032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66012 and 66032. First we will calculate the prime factors of 66012 and 66032.

Prime Factorization of 66012

Prime Factorization of 66032

Now multiplying the highest exponent prime factors to calculate the LCM of 66012 and 66032.

LCM(66012,66032) = 2⁴ × 3¹ × 5501¹ × 4127¹
LCM(66012,66032) = 1089726096