What is the Least Common Multiple of 75976 and 75989?

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 75976 and 75989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75976 and 75989, than apply into the LCM equation.

GCF(75976,75989) = 1
LCM(75976,75989) = ( 75976 × 75989) / 1
LCM(75976,75989) = 5773340264 / 1
LCM(75976,75989) = 5773340264

Least Common Multiple (LCM) of 75976 and 75989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75976 and 75989. First we will calculate the prime factors of 75976 and 75989.

Prime Factorization of 75976

Prime Factorization of 75989

Now multiplying the highest exponent prime factors to calculate the LCM of 75976 and 75989.

LCM(75976,75989) = 2³ × 9497¹ × 75989¹
LCM(75976,75989) = 5773340264