What is the Least Common Multiple of 38340 and 38352?

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 38340 and 38352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38340 and 38352, than apply into the LCM equation.

GCF(38340,38352) = 12
LCM(38340,38352) = ( 38340 × 38352) / 12
LCM(38340,38352) = 1470415680 / 12
LCM(38340,38352) = 122534640

Least Common Multiple (LCM) of 38340 and 38352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38340 and 38352. First we will calculate the prime factors of 38340 and 38352.

Prime Factorization of 38340

Prime Factorization of 38352

Now multiplying the highest exponent prime factors to calculate the LCM of 38340 and 38352.

LCM(38340,38352) = 2⁴ × 3³ × 5¹ × 71¹ × 17¹ × 47¹
LCM(38340,38352) = 122534640