What is the Least Common Multiple of 38315 and 38320?

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 38315 and 38320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38315 and 38320, than apply into the LCM equation.

GCF(38315,38320) = 5
LCM(38315,38320) = ( 38315 × 38320) / 5
LCM(38315,38320) = 1468230800 / 5
LCM(38315,38320) = 293646160

Least Common Multiple (LCM) of 38315 and 38320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38315 and 38320. First we will calculate the prime factors of 38315 and 38320.

Prime Factorization of 38315

Prime Factorization of 38320

Now multiplying the highest exponent prime factors to calculate the LCM of 38315 and 38320.

LCM(38315,38320) = 5¹ × 79¹ × 97¹ × 2⁴ × 479¹
LCM(38315,38320) = 293646160