What is the Least Common Multiple of 75300 and 75319?

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 75300 and 75319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75300 and 75319, than apply into the LCM equation.

GCF(75300,75319) = 1
LCM(75300,75319) = ( 75300 × 75319) / 1
LCM(75300,75319) = 5671520700 / 1
LCM(75300,75319) = 5671520700

Least Common Multiple (LCM) of 75300 and 75319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75300 and 75319. First we will calculate the prime factors of 75300 and 75319.

Prime Factorization of 75300

Prime Factorization of 75319

Now multiplying the highest exponent prime factors to calculate the LCM of 75300 and 75319.

LCM(75300,75319) = 2² × 3¹ × 5² × 251¹ × 109¹ × 691¹
LCM(75300,75319) = 5671520700