What is the Least Common Multiple of 35613 and 35619?

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 35613 and 35619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35613 and 35619, than apply into the LCM equation.

GCF(35613,35619) = 3
LCM(35613,35619) = ( 35613 × 35619) / 3
LCM(35613,35619) = 1268499447 / 3
LCM(35613,35619) = 422833149

Least Common Multiple (LCM) of 35613 and 35619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35613 and 35619. First we will calculate the prime factors of 35613 and 35619.

Prime Factorization of 35613

Prime Factorization of 35619

Now multiplying the highest exponent prime factors to calculate the LCM of 35613 and 35619.

LCM(35613,35619) = 3³ × 1319¹ × 31¹ × 383¹
LCM(35613,35619) = 422833149