What is the Least Common Multiple of 38705 and 38720?

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 38705 and 38720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38705 and 38720, than apply into the LCM equation.

GCF(38705,38720) = 5
LCM(38705,38720) = ( 38705 × 38720) / 5
LCM(38705,38720) = 1498657600 / 5
LCM(38705,38720) = 299731520

Least Common Multiple (LCM) of 38705 and 38720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38705 and 38720. First we will calculate the prime factors of 38705 and 38720.

Prime Factorization of 38705

Prime Factorization of 38720

Now multiplying the highest exponent prime factors to calculate the LCM of 38705 and 38720.

LCM(38705,38720) = 5¹ × 7741¹ × 2⁶ × 11²
LCM(38705,38720) = 299731520