What is the Least Common Multiple of 92493 and 92510?

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 92510 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 92510, than apply into the LCM equation.

GCF(92493,92510) = 1
LCM(92493,92510) = ( 92493 × 92510) / 1
LCM(92493,92510) = 8556527430 / 1
LCM(92493,92510) = 8556527430

Least Common Multiple (LCM) of 92493 and 92510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92493 and 92510. First we will calculate the prime factors of 92493 and 92510.

Prime Factorization of 92493

Prime Factorization of 92510

Now multiplying the highest exponent prime factors to calculate the LCM of 92493 and 92510.

LCM(92493,92510) = 3² × 43¹ × 239¹ × 2¹ × 5¹ × 11¹ × 29²
LCM(92493,92510) = 8556527430