What is the Least Common Multiple of 92454 and 92472?

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 92454 and 92472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92454 and 92472, than apply into the LCM equation.

GCF(92454,92472) = 6
LCM(92454,92472) = ( 92454 × 92472) / 6
LCM(92454,92472) = 8549406288 / 6
LCM(92454,92472) = 1424901048

Least Common Multiple (LCM) of 92454 and 92472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92454 and 92472. First we will calculate the prime factors of 92454 and 92472.

Prime Factorization of 92454

Prime Factorization of 92472

Now multiplying the highest exponent prime factors to calculate the LCM of 92454 and 92472.

LCM(92454,92472) = 2³ × 3¹ × 19¹ × 811¹ × 3853¹
LCM(92454,92472) = 1424901048