What is the Least Common Multiple of 75508 and 75528?

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 75508 and 75528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75508 and 75528, than apply into the LCM equation.

GCF(75508,75528) = 4
LCM(75508,75528) = ( 75508 × 75528) / 4
LCM(75508,75528) = 5702968224 / 4
LCM(75508,75528) = 1425742056

Least Common Multiple (LCM) of 75508 and 75528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75508 and 75528. First we will calculate the prime factors of 75508 and 75528.

Prime Factorization of 75508

Prime Factorization of 75528

Now multiplying the highest exponent prime factors to calculate the LCM of 75508 and 75528.

LCM(75508,75528) = 2³ × 43¹ × 439¹ × 3² × 1049¹
LCM(75508,75528) = 1425742056