What is the Least Common Multiple of 75068 and 75086?

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 75068 and 75086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75068 and 75086, than apply into the LCM equation.

GCF(75068,75086) = 2
LCM(75068,75086) = ( 75068 × 75086) / 2
LCM(75068,75086) = 5636555848 / 2
LCM(75068,75086) = 2818277924

Least Common Multiple (LCM) of 75068 and 75086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75068 and 75086. First we will calculate the prime factors of 75068 and 75086.

Prime Factorization of 75068

Prime Factorization of 75086

Now multiplying the highest exponent prime factors to calculate the LCM of 75068 and 75086.

LCM(75068,75086) = 2² × 7² × 383¹ × 11¹ × 3413¹
LCM(75068,75086) = 2818277924