What is the Least Common Multiple of 92577 and 92591?

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 92577 and 92591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92577 and 92591, than apply into the LCM equation.

GCF(92577,92591) = 1
LCM(92577,92591) = ( 92577 × 92591) / 1
LCM(92577,92591) = 8571797007 / 1
LCM(92577,92591) = 8571797007

Least Common Multiple (LCM) of 92577 and 92591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92577 and 92591. First we will calculate the prime factors of 92577 and 92591.

Prime Factorization of 92577

Prime Factorization of 92591

Now multiplying the highest exponent prime factors to calculate the LCM of 92577 and 92591.

LCM(92577,92591) = 3¹ × 30859¹ × 53¹ × 1747¹
LCM(92577,92591) = 8571797007