What is the Least Common Multiple of 47370 and 47387?

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 47387 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 47387, than apply into the LCM equation.

GCF(47370,47387) = 1
LCM(47370,47387) = ( 47370 × 47387) / 1
LCM(47370,47387) = 2244722190 / 1
LCM(47370,47387) = 2244722190

Least Common Multiple (LCM) of 47370 and 47387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47370 and 47387. First we will calculate the prime factors of 47370 and 47387.

Prime Factorization of 47370

Prime Factorization of 47387

Now multiplying the highest exponent prime factors to calculate the LCM of 47370 and 47387.

LCM(47370,47387) = 2¹ × 3¹ × 5¹ × 1579¹ × 47387¹
LCM(47370,47387) = 2244722190