What is the Least Common Multiple of 19485 and 19496?

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 19485 and 19496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19485 and 19496, than apply into the LCM equation.

GCF(19485,19496) = 1
LCM(19485,19496) = ( 19485 × 19496) / 1
LCM(19485,19496) = 379879560 / 1
LCM(19485,19496) = 379879560

Least Common Multiple (LCM) of 19485 and 19496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19485 and 19496. First we will calculate the prime factors of 19485 and 19496.

Prime Factorization of 19485

Prime Factorization of 19496

Now multiplying the highest exponent prime factors to calculate the LCM of 19485 and 19496.

LCM(19485,19496) = 3² × 5¹ × 433¹ × 2³ × 2437¹
LCM(19485,19496) = 379879560