What is the Least Common Multiple of 75054 and 75068?

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 75054 and 75068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75054 and 75068, than apply into the LCM equation.

GCF(75054,75068) = 14
LCM(75054,75068) = ( 75054 × 75068) / 14
LCM(75054,75068) = 5634153672 / 14
LCM(75054,75068) = 402439548

Least Common Multiple (LCM) of 75054 and 75068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75054 and 75068. First we will calculate the prime factors of 75054 and 75068.

Prime Factorization of 75054

Prime Factorization of 75068

Now multiplying the highest exponent prime factors to calculate the LCM of 75054 and 75068.

LCM(75054,75068) = 2² × 3¹ × 7² × 1787¹ × 383¹
LCM(75054,75068) = 402439548