What is the Least Common Multiple of 37145 and 37165?

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 37145 and 37165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37145 and 37165, than apply into the LCM equation.

GCF(37145,37165) = 5
LCM(37145,37165) = ( 37145 × 37165) / 5
LCM(37145,37165) = 1380493925 / 5
LCM(37145,37165) = 276098785

Least Common Multiple (LCM) of 37145 and 37165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37145 and 37165. First we will calculate the prime factors of 37145 and 37165.

Prime Factorization of 37145

Prime Factorization of 37165

Now multiplying the highest exponent prime factors to calculate the LCM of 37145 and 37165.

LCM(37145,37165) = 5¹ × 17¹ × 19¹ × 23¹ × 7433¹
LCM(37145,37165) = 276098785