What is the Least Common Multiple of 19475 and 19491?

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 19475 and 19491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19475 and 19491, than apply into the LCM equation.

GCF(19475,19491) = 1
LCM(19475,19491) = ( 19475 × 19491) / 1
LCM(19475,19491) = 379587225 / 1
LCM(19475,19491) = 379587225

Least Common Multiple (LCM) of 19475 and 19491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19475 and 19491. First we will calculate the prime factors of 19475 and 19491.

Prime Factorization of 19475

Prime Factorization of 19491

Now multiplying the highest exponent prime factors to calculate the LCM of 19475 and 19491.

LCM(19475,19491) = 5² × 19¹ × 41¹ × 3¹ × 73¹ × 89¹
LCM(19475,19491) = 379587225