What is the Least Common Multiple of 76068 and 76086?

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 76068 and 76086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76068 and 76086, than apply into the LCM equation.

GCF(76068,76086) = 18
LCM(76068,76086) = ( 76068 × 76086) / 18
LCM(76068,76086) = 5787709848 / 18
LCM(76068,76086) = 321539436

Least Common Multiple (LCM) of 76068 and 76086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76068 and 76086. First we will calculate the prime factors of 76068 and 76086.

Prime Factorization of 76068

Prime Factorization of 76086

Now multiplying the highest exponent prime factors to calculate the LCM of 76068 and 76086.

LCM(76068,76086) = 2² × 3³ × 2113¹ × 1409¹
LCM(76068,76086) = 321539436