What is the Least Common Multiple of 38328 and 38347?

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 38328 and 38347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38328 and 38347, than apply into the LCM equation.

GCF(38328,38347) = 1
LCM(38328,38347) = ( 38328 × 38347) / 1
LCM(38328,38347) = 1469763816 / 1
LCM(38328,38347) = 1469763816

Least Common Multiple (LCM) of 38328 and 38347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38328 and 38347. First we will calculate the prime factors of 38328 and 38347.

Prime Factorization of 38328

Prime Factorization of 38347

Now multiplying the highest exponent prime factors to calculate the LCM of 38328 and 38347.

LCM(38328,38347) = 2³ × 3¹ × 1597¹ × 31¹ × 1237¹
LCM(38328,38347) = 1469763816