What is the Least Common Multiple of 75372 and 75383?

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 75372 and 75383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75372 and 75383, than apply into the LCM equation.

GCF(75372,75383) = 11
LCM(75372,75383) = ( 75372 × 75383) / 11
LCM(75372,75383) = 5681767476 / 11
LCM(75372,75383) = 516524316

Least Common Multiple (LCM) of 75372 and 75383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75372 and 75383. First we will calculate the prime factors of 75372 and 75383.

Prime Factorization of 75372

Prime Factorization of 75383

Now multiplying the highest exponent prime factors to calculate the LCM of 75372 and 75383.

LCM(75372,75383) = 2² × 3¹ × 11² × 571¹ × 7¹ × 89¹
LCM(75372,75383) = 516524316