What is the Least Common Multiple of 75808 and 75816?

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 75808 and 75816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75808 and 75816, than apply into the LCM equation.

GCF(75808,75816) = 8
LCM(75808,75816) = ( 75808 × 75816) / 8
LCM(75808,75816) = 5747459328 / 8
LCM(75808,75816) = 718432416

Least Common Multiple (LCM) of 75808 and 75816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75808 and 75816. First we will calculate the prime factors of 75808 and 75816.

Prime Factorization of 75808

Prime Factorization of 75816

Now multiplying the highest exponent prime factors to calculate the LCM of 75808 and 75816.

LCM(75808,75816) = 2⁵ × 23¹ × 103¹ × 3⁶ × 13¹
LCM(75808,75816) = 718432416