What is the Least Common Multiple of 19145 and 19161?

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 19161 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 19161, than apply into the LCM equation.

GCF(19145,19161) = 1
LCM(19145,19161) = ( 19145 × 19161) / 1
LCM(19145,19161) = 366837345 / 1
LCM(19145,19161) = 366837345

Least Common Multiple (LCM) of 19145 and 19161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19145 and 19161. First we will calculate the prime factors of 19145 and 19161.

Prime Factorization of 19145

Prime Factorization of 19161

Now multiplying the highest exponent prime factors to calculate the LCM of 19145 and 19161.

LCM(19145,19161) = 5¹ × 7¹ × 547¹ × 3² × 2129¹
LCM(19145,19161) = 366837345