What is the Least Common Multiple of 19179 and 19195?

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 19179 and 19195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19179 and 19195, than apply into the LCM equation.

GCF(19179,19195) = 1
LCM(19179,19195) = ( 19179 × 19195) / 1
LCM(19179,19195) = 368140905 / 1
LCM(19179,19195) = 368140905

Least Common Multiple (LCM) of 19179 and 19195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19179 and 19195. First we will calculate the prime factors of 19179 and 19195.

Prime Factorization of 19179

Prime Factorization of 19195

Now multiplying the highest exponent prime factors to calculate the LCM of 19179 and 19195.

LCM(19179,19195) = 3² × 2131¹ × 5¹ × 11¹ × 349¹
LCM(19179,19195) = 368140905