What is the Least Common Multiple of 92493 and 92501?

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 92493 and 92501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92493 and 92501, than apply into the LCM equation.

GCF(92493,92501) = 1
LCM(92493,92501) = ( 92493 × 92501) / 1
LCM(92493,92501) = 8555694993 / 1
LCM(92493,92501) = 8555694993

Least Common Multiple (LCM) of 92493 and 92501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92493 and 92501. First we will calculate the prime factors of 92493 and 92501.

Prime Factorization of 92493

Prime Factorization of 92501

Now multiplying the highest exponent prime factors to calculate the LCM of 92493 and 92501.

LCM(92493,92501) = 3² × 43¹ × 239¹ × 233¹ × 397¹
LCM(92493,92501) = 8555694993