What is the Least Common Multiple of 75524 and 75536?

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 75524 and 75536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75524 and 75536, than apply into the LCM equation.

GCF(75524,75536) = 4
LCM(75524,75536) = ( 75524 × 75536) / 4
LCM(75524,75536) = 5704780864 / 4
LCM(75524,75536) = 1426195216

Least Common Multiple (LCM) of 75524 and 75536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75524 and 75536. First we will calculate the prime factors of 75524 and 75536.

Prime Factorization of 75524

Prime Factorization of 75536

Now multiplying the highest exponent prime factors to calculate the LCM of 75524 and 75536.

LCM(75524,75536) = 2⁴ × 79¹ × 239¹ × 4721¹
LCM(75524,75536) = 1426195216