What is the Least Common Multiple of 92460 and 92478?

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 92478 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 92478, than apply into the LCM equation.

GCF(92460,92478) = 6
LCM(92460,92478) = ( 92460 × 92478) / 6
LCM(92460,92478) = 8550515880 / 6
LCM(92460,92478) = 1425085980

Least Common Multiple (LCM) of 92460 and 92478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92460 and 92478. First we will calculate the prime factors of 92460 and 92478.

Prime Factorization of 92460

Prime Factorization of 92478

Now multiplying the highest exponent prime factors to calculate the LCM of 92460 and 92478.

LCM(92460,92478) = 2² × 3¹ × 5¹ × 23¹ × 67¹ × 15413¹
LCM(92460,92478) = 1425085980