What is the Least Common Multiple of 75908 and 75916?

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 75908 and 75916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75908 and 75916, than apply into the LCM equation.

GCF(75908,75916) = 4
LCM(75908,75916) = ( 75908 × 75916) / 4
LCM(75908,75916) = 5762631728 / 4
LCM(75908,75916) = 1440657932

Least Common Multiple (LCM) of 75908 and 75916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75908 and 75916. First we will calculate the prime factors of 75908 and 75916.

Prime Factorization of 75908

Prime Factorization of 75916

Now multiplying the highest exponent prime factors to calculate the LCM of 75908 and 75916.

LCM(75908,75916) = 2² × 7¹ × 2711¹ × 18979¹
LCM(75908,75916) = 1440657932