What is the Least Common Multiple of 47385 and 47390?

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 47385 and 47390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47385 and 47390, than apply into the LCM equation.

GCF(47385,47390) = 5
LCM(47385,47390) = ( 47385 × 47390) / 5
LCM(47385,47390) = 2245575150 / 5
LCM(47385,47390) = 449115030

Least Common Multiple (LCM) of 47385 and 47390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47385 and 47390. First we will calculate the prime factors of 47385 and 47390.

Prime Factorization of 47385

Prime Factorization of 47390

Now multiplying the highest exponent prime factors to calculate the LCM of 47385 and 47390.

LCM(47385,47390) = 3⁶ × 5¹ × 13¹ × 2¹ × 7¹ × 677¹
LCM(47385,47390) = 449115030