What is the Least Common Multiple of 36109 and 36115?

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 36109 and 36115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36109 and 36115, than apply into the LCM equation.

GCF(36109,36115) = 1
LCM(36109,36115) = ( 36109 × 36115) / 1
LCM(36109,36115) = 1304076535 / 1
LCM(36109,36115) = 1304076535

Least Common Multiple (LCM) of 36109 and 36115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36109 and 36115. First we will calculate the prime factors of 36109 and 36115.

Prime Factorization of 36109

Prime Factorization of 36115

Now multiplying the highest exponent prime factors to calculate the LCM of 36109 and 36115.

LCM(36109,36115) = 36109¹ × 5¹ × 31¹ × 233¹
LCM(36109,36115) = 1304076535