What is the Least Common Multiple of 19175 and 19183?

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 19175 and 19183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19175 and 19183, than apply into the LCM equation.

GCF(19175,19183) = 1
LCM(19175,19183) = ( 19175 × 19183) / 1
LCM(19175,19183) = 367834025 / 1
LCM(19175,19183) = 367834025

Least Common Multiple (LCM) of 19175 and 19183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19175 and 19183. First we will calculate the prime factors of 19175 and 19183.

Prime Factorization of 19175

Prime Factorization of 19183

Now multiplying the highest exponent prime factors to calculate the LCM of 19175 and 19183.

LCM(19175,19183) = 5² × 13¹ × 59¹ × 19183¹
LCM(19175,19183) = 367834025