What is the Least Common Multiple of 19165 and 19170?

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 19165 and 19170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19165 and 19170, than apply into the LCM equation.

GCF(19165,19170) = 5
LCM(19165,19170) = ( 19165 × 19170) / 5
LCM(19165,19170) = 367393050 / 5
LCM(19165,19170) = 73478610

Least Common Multiple (LCM) of 19165 and 19170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19165 and 19170. First we will calculate the prime factors of 19165 and 19170.

Prime Factorization of 19165

Prime Factorization of 19170

Now multiplying the highest exponent prime factors to calculate the LCM of 19165 and 19170.

LCM(19165,19170) = 5¹ × 3833¹ × 2¹ × 3³ × 71¹
LCM(19165,19170) = 73478610