What is the Least Common Multiple of 38598 and 38613?

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 38598 and 38613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38598 and 38613, than apply into the LCM equation.

GCF(38598,38613) = 3
LCM(38598,38613) = ( 38598 × 38613) / 3
LCM(38598,38613) = 1490384574 / 3
LCM(38598,38613) = 496794858

Least Common Multiple (LCM) of 38598 and 38613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38598 and 38613. First we will calculate the prime factors of 38598 and 38613.

Prime Factorization of 38598

Prime Factorization of 38613

Now multiplying the highest exponent prime factors to calculate the LCM of 38598 and 38613.

LCM(38598,38613) = 2¹ × 3¹ × 7¹ × 919¹ × 61¹ × 211¹
LCM(38598,38613) = 496794858