What is the Least Common Multiple of 96109 and 96115?

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 96109 and 96115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96109 and 96115, than apply into the LCM equation.

GCF(96109,96115) = 1
LCM(96109,96115) = ( 96109 × 96115) / 1
LCM(96109,96115) = 9237516535 / 1
LCM(96109,96115) = 9237516535

Least Common Multiple (LCM) of 96109 and 96115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96109 and 96115. First we will calculate the prime factors of 96109 and 96115.

Prime Factorization of 96109

Prime Factorization of 96115

Now multiplying the highest exponent prime factors to calculate the LCM of 96109 and 96115.

LCM(96109,96115) = 13¹ × 7393¹ × 5¹ × 47¹ × 409¹
LCM(96109,96115) = 9237516535