What is the Least Common Multiple of 92746 and 92750?

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 92746 and 92750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92746 and 92750, than apply into the LCM equation.

GCF(92746,92750) = 2
LCM(92746,92750) = ( 92746 × 92750) / 2
LCM(92746,92750) = 8602191500 / 2
LCM(92746,92750) = 4301095750

Least Common Multiple (LCM) of 92746 and 92750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92746 and 92750. First we will calculate the prime factors of 92746 and 92750.

Prime Factorization of 92746

Prime Factorization of 92750

Now multiplying the highest exponent prime factors to calculate the LCM of 92746 and 92750.

LCM(92746,92750) = 2¹ × 79¹ × 587¹ × 5³ × 7¹ × 53¹
LCM(92746,92750) = 4301095750