What is the Least Common Multiple of 93790 and 93795?

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 93790 and 93795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93790 and 93795, than apply into the LCM equation.

GCF(93790,93795) = 5
LCM(93790,93795) = ( 93790 × 93795) / 5
LCM(93790,93795) = 8797033050 / 5
LCM(93790,93795) = 1759406610

Least Common Multiple (LCM) of 93790 and 93795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93790 and 93795. First we will calculate the prime factors of 93790 and 93795.

Prime Factorization of 93790

Prime Factorization of 93795

Now multiplying the highest exponent prime factors to calculate the LCM of 93790 and 93795.

LCM(93790,93795) = 2¹ × 5¹ × 83¹ × 113¹ × 3¹ × 13² × 37¹
LCM(93790,93795) = 1759406610