What is the Least Common Multiple of 92457 and 92462?

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 92457 and 92462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92457 and 92462, than apply into the LCM equation.

GCF(92457,92462) = 1
LCM(92457,92462) = ( 92457 × 92462) / 1
LCM(92457,92462) = 8548759134 / 1
LCM(92457,92462) = 8548759134

Least Common Multiple (LCM) of 92457 and 92462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92457 and 92462. First we will calculate the prime factors of 92457 and 92462.

Prime Factorization of 92457

Prime Factorization of 92462

Now multiplying the highest exponent prime factors to calculate the LCM of 92457 and 92462.

LCM(92457,92462) = 3² × 10273¹ × 2¹ × 83¹ × 557¹
LCM(92457,92462) = 8548759134