What is the Least Common Multiple of 75068 and 75082?

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 75082 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 75082, than apply into the LCM equation.

GCF(75068,75082) = 14
LCM(75068,75082) = ( 75068 × 75082) / 14
LCM(75068,75082) = 5636255576 / 14
LCM(75068,75082) = 402589684

Least Common Multiple (LCM) of 75068 and 75082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75068 and 75082. First we will calculate the prime factors of 75068 and 75082.

Prime Factorization of 75068

Prime Factorization of 75082

Now multiplying the highest exponent prime factors to calculate the LCM of 75068 and 75082.

LCM(75068,75082) = 2² × 7² × 383¹ × 31¹ × 173¹
LCM(75068,75082) = 402589684