What is the Least Common Multiple of 38320 and 38338?

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 38320 and 38338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38320 and 38338, than apply into the LCM equation.

GCF(38320,38338) = 2
LCM(38320,38338) = ( 38320 × 38338) / 2
LCM(38320,38338) = 1469112160 / 2
LCM(38320,38338) = 734556080

Least Common Multiple (LCM) of 38320 and 38338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38320 and 38338. First we will calculate the prime factors of 38320 and 38338.

Prime Factorization of 38320

Prime Factorization of 38338

Now multiplying the highest exponent prime factors to calculate the LCM of 38320 and 38338.

LCM(38320,38338) = 2⁴ × 5¹ × 479¹ × 29¹ × 661¹
LCM(38320,38338) = 734556080