What is the Least Common Multiple of 75144 and 75153?

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 75144 and 75153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75144 and 75153, than apply into the LCM equation.

GCF(75144,75153) = 3
LCM(75144,75153) = ( 75144 × 75153) / 3
LCM(75144,75153) = 5647297032 / 3
LCM(75144,75153) = 1882432344

Least Common Multiple (LCM) of 75144 and 75153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75144 and 75153. First we will calculate the prime factors of 75144 and 75153.

Prime Factorization of 75144

Prime Factorization of 75153

Now multiplying the highest exponent prime factors to calculate the LCM of 75144 and 75153.

LCM(75144,75153) = 2³ × 3¹ × 31¹ × 101¹ × 13¹ × 41¹ × 47¹
LCM(75144,75153) = 1882432344