What is the Least Common Multiple of 38346 and 38360?

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 38346 and 38360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38346 and 38360, than apply into the LCM equation.

GCF(38346,38360) = 14
LCM(38346,38360) = ( 38346 × 38360) / 14
LCM(38346,38360) = 1470952560 / 14
LCM(38346,38360) = 105068040

Least Common Multiple (LCM) of 38346 and 38360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38346 and 38360. First we will calculate the prime factors of 38346 and 38360.

Prime Factorization of 38346

Prime Factorization of 38360

Now multiplying the highest exponent prime factors to calculate the LCM of 38346 and 38360.

LCM(38346,38360) = 2³ × 3¹ × 7¹ × 11¹ × 83¹ × 5¹ × 137¹
LCM(38346,38360) = 105068040