What is the Least Common Multiple of 19814 and 19828?

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 19814 and 19828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19814 and 19828, than apply into the LCM equation.

GCF(19814,19828) = 2
LCM(19814,19828) = ( 19814 × 19828) / 2
LCM(19814,19828) = 392871992 / 2
LCM(19814,19828) = 196435996

Least Common Multiple (LCM) of 19814 and 19828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19814 and 19828. First we will calculate the prime factors of 19814 and 19828.

Prime Factorization of 19814

Prime Factorization of 19828

Now multiplying the highest exponent prime factors to calculate the LCM of 19814 and 19828.

LCM(19814,19828) = 2² × 9907¹ × 4957¹
LCM(19814,19828) = 196435996