What is the Least Common Multiple of 9104 and 9115?

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 9104 and 9115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9104 and 9115, than apply into the LCM equation.

GCF(9104,9115) = 1
LCM(9104,9115) = ( 9104 × 9115) / 1
LCM(9104,9115) = 82982960 / 1
LCM(9104,9115) = 82982960

Least Common Multiple (LCM) of 9104 and 9115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9104 and 9115. First we will calculate the prime factors of 9104 and 9115.

Prime Factorization of 9104

Prime Factorization of 9115

Now multiplying the highest exponent prime factors to calculate the LCM of 9104 and 9115.

LCM(9104,9115) = 2⁴ × 569¹ × 5¹ × 1823¹
LCM(9104,9115) = 82982960