What is the Least Common Multiple of 92600 and 92605?

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 92600 and 92605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92600 and 92605, than apply into the LCM equation.

GCF(92600,92605) = 5
LCM(92600,92605) = ( 92600 × 92605) / 5
LCM(92600,92605) = 8575223000 / 5
LCM(92600,92605) = 1715044600

Least Common Multiple (LCM) of 92600 and 92605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92600 and 92605. First we will calculate the prime factors of 92600 and 92605.

Prime Factorization of 92600

Prime Factorization of 92605

Now multiplying the highest exponent prime factors to calculate the LCM of 92600 and 92605.

LCM(92600,92605) = 2³ × 5² × 463¹ × 18521¹
LCM(92600,92605) = 1715044600