What is the Least Common Multiple of 38443 and 38461?

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 38443 and 38461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38443 and 38461, than apply into the LCM equation.

GCF(38443,38461) = 1
LCM(38443,38461) = ( 38443 × 38461) / 1
LCM(38443,38461) = 1478556223 / 1
LCM(38443,38461) = 1478556223

Least Common Multiple (LCM) of 38443 and 38461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38443 and 38461. First we will calculate the prime factors of 38443 and 38461.

Prime Factorization of 38443

Prime Factorization of 38461

Now multiplying the highest exponent prime factors to calculate the LCM of 38443 and 38461.

LCM(38443,38461) = 37¹ × 1039¹ × 38461¹
LCM(38443,38461) = 1478556223