What is the Least Common Multiple of 19609 and 19619?

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 19609 and 19619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19609 and 19619, than apply into the LCM equation.

GCF(19609,19619) = 1
LCM(19609,19619) = ( 19609 × 19619) / 1
LCM(19609,19619) = 384708971 / 1
LCM(19609,19619) = 384708971

Least Common Multiple (LCM) of 19609 and 19619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19609 and 19619. First we will calculate the prime factors of 19609 and 19619.

Prime Factorization of 19609

Prime Factorization of 19619

Now multiplying the highest exponent prime factors to calculate the LCM of 19609 and 19619.

LCM(19609,19619) = 19609¹ × 23¹ × 853¹
LCM(19609,19619) = 384708971