What is the Least Common Multiple of 92720 and 92737?

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 92720 and 92737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92720 and 92737, than apply into the LCM equation.

GCF(92720,92737) = 1
LCM(92720,92737) = ( 92720 × 92737) / 1
LCM(92720,92737) = 8598574640 / 1
LCM(92720,92737) = 8598574640

Least Common Multiple (LCM) of 92720 and 92737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92720 and 92737. First we will calculate the prime factors of 92720 and 92737.

Prime Factorization of 92720

Prime Factorization of 92737

Now multiplying the highest exponent prime factors to calculate the LCM of 92720 and 92737.

LCM(92720,92737) = 2⁴ × 5¹ × 19¹ × 61¹ × 92737¹
LCM(92720,92737) = 8598574640