What is the Least Common Multiple of 76188 and 76192?

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 76188 and 76192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76188 and 76192, than apply into the LCM equation.

GCF(76188,76192) = 4
LCM(76188,76192) = ( 76188 × 76192) / 4
LCM(76188,76192) = 5804916096 / 4
LCM(76188,76192) = 1451229024

Least Common Multiple (LCM) of 76188 and 76192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76188 and 76192. First we will calculate the prime factors of 76188 and 76192.

Prime Factorization of 76188

Prime Factorization of 76192

Now multiplying the highest exponent prime factors to calculate the LCM of 76188 and 76192.

LCM(76188,76192) = 2⁵ × 3¹ × 7¹ × 907¹ × 2381¹
LCM(76188,76192) = 1451229024