What is the Least Common Multiple of 47370 and 47381?

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 47370 and 47381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47370 and 47381, than apply into the LCM equation.

GCF(47370,47381) = 1
LCM(47370,47381) = ( 47370 × 47381) / 1
LCM(47370,47381) = 2244437970 / 1
LCM(47370,47381) = 2244437970

Least Common Multiple (LCM) of 47370 and 47381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47370 and 47381. First we will calculate the prime factors of 47370 and 47381.

Prime Factorization of 47370

Prime Factorization of 47381

Now multiplying the highest exponent prime factors to calculate the LCM of 47370 and 47381.

LCM(47370,47381) = 2¹ × 3¹ × 5¹ × 1579¹ × 47381¹
LCM(47370,47381) = 2244437970