What is the Least Common Multiple of 92460 and 92474?

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 92460 and 92474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92460 and 92474, than apply into the LCM equation.

GCF(92460,92474) = 2
LCM(92460,92474) = ( 92460 × 92474) / 2
LCM(92460,92474) = 8550146040 / 2
LCM(92460,92474) = 4275073020

Least Common Multiple (LCM) of 92460 and 92474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92460 and 92474. First we will calculate the prime factors of 92460 and 92474.

Prime Factorization of 92460

Prime Factorization of 92474

Now multiplying the highest exponent prime factors to calculate the LCM of 92460 and 92474.

LCM(92460,92474) = 2² × 3¹ × 5¹ × 23¹ × 67¹ × 46237¹
LCM(92460,92474) = 4275073020