What is the Least Common Multiple of 92592 and 92600?

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 92592 and 92600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92592 and 92600, than apply into the LCM equation.

GCF(92592,92600) = 8
LCM(92592,92600) = ( 92592 × 92600) / 8
LCM(92592,92600) = 8574019200 / 8
LCM(92592,92600) = 1071752400

Least Common Multiple (LCM) of 92592 and 92600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92592 and 92600. First we will calculate the prime factors of 92592 and 92600.

Prime Factorization of 92592

Prime Factorization of 92600

Now multiplying the highest exponent prime factors to calculate the LCM of 92592 and 92600.

LCM(92592,92600) = 2⁴ × 3² × 643¹ × 5² × 463¹
LCM(92592,92600) = 1071752400