What is the Least Common Multiple of 75274 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 75274 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 75274 and 75288, than apply into the LCM equation.

GCF(75274,75288) = 2
LCM(75274,75288) = ( 75274 × 75288) / 2
LCM(75274,75288) = 5667228912 / 2
LCM(75274,75288) = 2833614456

Least Common Multiple (LCM) of 75274 and 75288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75274 and 75288. First we will calculate the prime factors of 75274 and 75288.

Prime Factorization of 75274

Prime Factorization of 75288

Now multiplying the highest exponent prime factors to calculate the LCM of 75274 and 75288.

LCM(75274,75288) = 2³ × 61¹ × 617¹ × 3¹ × 3137¹
LCM(75274,75288) = 2833614456