What is the Least Common Multiple of 75566 and 75576?

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 75566 and 75576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75566 and 75576, than apply into the LCM equation.

GCF(75566,75576) = 2
LCM(75566,75576) = ( 75566 × 75576) / 2
LCM(75566,75576) = 5710976016 / 2
LCM(75566,75576) = 2855488008

Least Common Multiple (LCM) of 75566 and 75576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75566 and 75576. First we will calculate the prime factors of 75566 and 75576.

Prime Factorization of 75566

Prime Factorization of 75576

Now multiplying the highest exponent prime factors to calculate the LCM of 75566 and 75576.

LCM(75566,75576) = 2³ × 37783¹ × 3¹ × 47¹ × 67¹
LCM(75566,75576) = 2855488008