What is the Least Common Multiple of 96110 and 96117?

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 96110 and 96117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96110 and 96117, than apply into the LCM equation.

GCF(96110,96117) = 7
LCM(96110,96117) = ( 96110 × 96117) / 7
LCM(96110,96117) = 9237804870 / 7
LCM(96110,96117) = 1319686410

Least Common Multiple (LCM) of 96110 and 96117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96110 and 96117. First we will calculate the prime factors of 96110 and 96117.

Prime Factorization of 96110

Prime Factorization of 96117

Now multiplying the highest exponent prime factors to calculate the LCM of 96110 and 96117.

LCM(96110,96117) = 2¹ × 5¹ × 7¹ × 1373¹ × 3¹ × 23¹ × 199¹
LCM(96110,96117) = 1319686410