What is the Least Common Multiple of 77983 and 77991?

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 77983 and 77991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77983 and 77991, than apply into the LCM equation.

GCF(77983,77991) = 1
LCM(77983,77991) = ( 77983 × 77991) / 1
LCM(77983,77991) = 6081972153 / 1
LCM(77983,77991) = 6081972153

Least Common Multiple (LCM) of 77983 and 77991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77983 and 77991. First we will calculate the prime factors of 77983 and 77991.

Prime Factorization of 77983

Prime Factorization of 77991

Now multiplying the highest exponent prime factors to calculate the LCM of 77983 and 77991.

LCM(77983,77991) = 77983¹ × 3¹ × 25997¹
LCM(77983,77991) = 6081972153