What is the Least Common Multiple of 38600 and 38619?

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 38600 and 38619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38600 and 38619, than apply into the LCM equation.

GCF(38600,38619) = 1
LCM(38600,38619) = ( 38600 × 38619) / 1
LCM(38600,38619) = 1490693400 / 1
LCM(38600,38619) = 1490693400

Least Common Multiple (LCM) of 38600 and 38619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38600 and 38619. First we will calculate the prime factors of 38600 and 38619.

Prime Factorization of 38600

Prime Factorization of 38619

Now multiplying the highest exponent prime factors to calculate the LCM of 38600 and 38619.

LCM(38600,38619) = 2³ × 5² × 193¹ × 3² × 7¹ × 613¹
LCM(38600,38619) = 1490693400