What is the Least Common Multiple of 61604 and 61619?

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 61604 and 61619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61604 and 61619, than apply into the LCM equation.

GCF(61604,61619) = 1
LCM(61604,61619) = ( 61604 × 61619) / 1
LCM(61604,61619) = 3795976876 / 1
LCM(61604,61619) = 3795976876

Least Common Multiple (LCM) of 61604 and 61619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61604 and 61619. First we will calculate the prime factors of 61604 and 61619.

Prime Factorization of 61604

Prime Factorization of 61619

Now multiplying the highest exponent prime factors to calculate the LCM of 61604 and 61619.

LCM(61604,61619) = 2² × 15401¹ × 43¹ × 1433¹
LCM(61604,61619) = 3795976876