What is the Least Common Multiple of 76591 and 76604?

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 76591 and 76604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76591 and 76604, than apply into the LCM equation.

GCF(76591,76604) = 1
LCM(76591,76604) = ( 76591 × 76604) / 1
LCM(76591,76604) = 5867176964 / 1
LCM(76591,76604) = 5867176964

Least Common Multiple (LCM) of 76591 and 76604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76591 and 76604. First we will calculate the prime factors of 76591 and 76604.

Prime Factorization of 76591

Prime Factorization of 76604

Now multiplying the highest exponent prime factors to calculate the LCM of 76591 and 76604.

LCM(76591,76604) = 191¹ × 401¹ × 2² × 11¹ × 1741¹
LCM(76591,76604) = 5867176964