What is the Least Common Multiple of 36103 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 36103 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 36103 and 36115, than apply into the LCM equation.

GCF(36103,36115) = 1
LCM(36103,36115) = ( 36103 × 36115) / 1
LCM(36103,36115) = 1303859845 / 1
LCM(36103,36115) = 1303859845

Least Common Multiple (LCM) of 36103 and 36115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36103 and 36115. First we will calculate the prime factors of 36103 and 36115.

Prime Factorization of 36103

Prime Factorization of 36115

Now multiplying the highest exponent prime factors to calculate the LCM of 36103 and 36115.

LCM(36103,36115) = 79¹ × 457¹ × 5¹ × 31¹ × 233¹
LCM(36103,36115) = 1303859845