What is the Least Common Multiple of 75279 and 75288?

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 75279 and 75288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75279 and 75288, than apply into the LCM equation.

GCF(75279,75288) = 3
LCM(75279,75288) = ( 75279 × 75288) / 3
LCM(75279,75288) = 5667605352 / 3
LCM(75279,75288) = 1889201784

Least Common Multiple (LCM) of 75279 and 75288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75279 and 75288. First we will calculate the prime factors of 75279 and 75288.

Prime Factorization of 75279

Prime Factorization of 75288

Now multiplying the highest exponent prime factors to calculate the LCM of 75279 and 75288.

LCM(75279,75288) = 3¹ × 23¹ × 1091¹ × 2³ × 3137¹
LCM(75279,75288) = 1889201784