What is the Least Common Multiple of 38688 and 38705?

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 38688 and 38705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38688 and 38705, than apply into the LCM equation.

GCF(38688,38705) = 1
LCM(38688,38705) = ( 38688 × 38705) / 1
LCM(38688,38705) = 1497419040 / 1
LCM(38688,38705) = 1497419040

Least Common Multiple (LCM) of 38688 and 38705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38688 and 38705. First we will calculate the prime factors of 38688 and 38705.

Prime Factorization of 38688

Prime Factorization of 38705

Now multiplying the highest exponent prime factors to calculate the LCM of 38688 and 38705.

LCM(38688,38705) = 2⁵ × 3¹ × 13¹ × 31¹ × 5¹ × 7741¹
LCM(38688,38705) = 1497419040