What is the Least Common Multiple of 38675 and 38680?

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 38675 and 38680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38675 and 38680, than apply into the LCM equation.

GCF(38675,38680) = 5
LCM(38675,38680) = ( 38675 × 38680) / 5
LCM(38675,38680) = 1495949000 / 5
LCM(38675,38680) = 299189800

Least Common Multiple (LCM) of 38675 and 38680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38675 and 38680. First we will calculate the prime factors of 38675 and 38680.

Prime Factorization of 38675

Prime Factorization of 38680

Now multiplying the highest exponent prime factors to calculate the LCM of 38675 and 38680.

LCM(38675,38680) = 5² × 7¹ × 13¹ × 17¹ × 2³ × 967¹
LCM(38675,38680) = 299189800