What is the Least Common Multiple of 38352 and 38361?

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 38361 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 38361, than apply into the LCM equation.

GCF(38352,38361) = 3
LCM(38352,38361) = ( 38352 × 38361) / 3
LCM(38352,38361) = 1471221072 / 3
LCM(38352,38361) = 490407024

Least Common Multiple (LCM) of 38352 and 38361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38352 and 38361. First we will calculate the prime factors of 38352 and 38361.

Prime Factorization of 38352

Prime Factorization of 38361

Now multiplying the highest exponent prime factors to calculate the LCM of 38352 and 38361.

LCM(38352,38361) = 2⁴ × 3¹ × 17¹ × 47¹ × 19¹ × 673¹
LCM(38352,38361) = 490407024