What is the Least Common Multiple of 38352 and 38369?

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 38352 and 38369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38352 and 38369, than apply into the LCM equation.

GCF(38352,38369) = 17
LCM(38352,38369) = ( 38352 × 38369) / 17
LCM(38352,38369) = 1471527888 / 17
LCM(38352,38369) = 86560464

Least Common Multiple (LCM) of 38352 and 38369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38352 and 38369. First we will calculate the prime factors of 38352 and 38369.

Prime Factorization of 38352

Prime Factorization of 38369

Now multiplying the highest exponent prime factors to calculate the LCM of 38352 and 38369.

LCM(38352,38369) = 2⁴ × 3¹ × 17¹ × 47¹ × 37¹ × 61¹
LCM(38352,38369) = 86560464