What is the Least Common Multiple of 75528 and 75540?

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 75528 and 75540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75528 and 75540, than apply into the LCM equation.

GCF(75528,75540) = 12
LCM(75528,75540) = ( 75528 × 75540) / 12
LCM(75528,75540) = 5705385120 / 12
LCM(75528,75540) = 475448760

Least Common Multiple (LCM) of 75528 and 75540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75528 and 75540. First we will calculate the prime factors of 75528 and 75540.

Prime Factorization of 75528

Prime Factorization of 75540

Now multiplying the highest exponent prime factors to calculate the LCM of 75528 and 75540.

LCM(75528,75540) = 2³ × 3² × 1049¹ × 5¹ × 1259¹
LCM(75528,75540) = 475448760