What is the Least Common Multiple of 38319 and 38339?

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 38319 and 38339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38319 and 38339, than apply into the LCM equation.

GCF(38319,38339) = 1
LCM(38319,38339) = ( 38319 × 38339) / 1
LCM(38319,38339) = 1469112141 / 1
LCM(38319,38339) = 1469112141

Least Common Multiple (LCM) of 38319 and 38339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38319 and 38339. First we will calculate the prime factors of 38319 and 38339.

Prime Factorization of 38319

Prime Factorization of 38339

Now multiplying the highest exponent prime factors to calculate the LCM of 38319 and 38339.

LCM(38319,38339) = 3¹ × 53¹ × 241¹ × 7¹ × 5477¹
LCM(38319,38339) = 1469112141