What is the Least Common Multiple of 19145 and 19165?

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 19145 and 19165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19145 and 19165, than apply into the LCM equation.

GCF(19145,19165) = 5
LCM(19145,19165) = ( 19145 × 19165) / 5
LCM(19145,19165) = 366913925 / 5
LCM(19145,19165) = 73382785

Least Common Multiple (LCM) of 19145 and 19165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19145 and 19165. First we will calculate the prime factors of 19145 and 19165.

Prime Factorization of 19145

Prime Factorization of 19165

Now multiplying the highest exponent prime factors to calculate the LCM of 19145 and 19165.

LCM(19145,19165) = 5¹ × 7¹ × 547¹ × 3833¹
LCM(19145,19165) = 73382785