What is the Least Common Multiple of 75644 and 75656?

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 75644 and 75656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75644 and 75656, than apply into the LCM equation.

GCF(75644,75656) = 4
LCM(75644,75656) = ( 75644 × 75656) / 4
LCM(75644,75656) = 5722922464 / 4
LCM(75644,75656) = 1430730616

Least Common Multiple (LCM) of 75644 and 75656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75644 and 75656. First we will calculate the prime factors of 75644 and 75656.

Prime Factorization of 75644

Prime Factorization of 75656

Now multiplying the highest exponent prime factors to calculate the LCM of 75644 and 75656.

LCM(75644,75656) = 2³ × 18911¹ × 7² × 193¹
LCM(75644,75656) = 1430730616