What is the Least Common Multiple of 37110 and 37115?

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 37110 and 37115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37110 and 37115, than apply into the LCM equation.

GCF(37110,37115) = 5
LCM(37110,37115) = ( 37110 × 37115) / 5
LCM(37110,37115) = 1377337650 / 5
LCM(37110,37115) = 275467530

Least Common Multiple (LCM) of 37110 and 37115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37110 and 37115. First we will calculate the prime factors of 37110 and 37115.

Prime Factorization of 37110

Prime Factorization of 37115

Now multiplying the highest exponent prime factors to calculate the LCM of 37110 and 37115.

LCM(37110,37115) = 2¹ × 3¹ × 5¹ × 1237¹ × 13¹ × 571¹
LCM(37110,37115) = 275467530