What is the Least Common Multiple of 92295 and 92300?

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 92295 and 92300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92295 and 92300, than apply into the LCM equation.

GCF(92295,92300) = 5
LCM(92295,92300) = ( 92295 × 92300) / 5
LCM(92295,92300) = 8518828500 / 5
LCM(92295,92300) = 1703765700

Least Common Multiple (LCM) of 92295 and 92300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92295 and 92300. First we will calculate the prime factors of 92295 and 92300.

Prime Factorization of 92295

Prime Factorization of 92300

Now multiplying the highest exponent prime factors to calculate the LCM of 92295 and 92300.

LCM(92295,92300) = 3² × 5² × 7¹ × 293¹ × 2² × 13¹ × 71¹
LCM(92295,92300) = 1703765700