What is the Least Common Multiple of 47840 and 47855?

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 47840 and 47855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47840 and 47855, than apply into the LCM equation.

GCF(47840,47855) = 5
LCM(47840,47855) = ( 47840 × 47855) / 5
LCM(47840,47855) = 2289383200 / 5
LCM(47840,47855) = 457876640

Least Common Multiple (LCM) of 47840 and 47855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47840 and 47855. First we will calculate the prime factors of 47840 and 47855.

Prime Factorization of 47840

Prime Factorization of 47855

Now multiplying the highest exponent prime factors to calculate the LCM of 47840 and 47855.

LCM(47840,47855) = 2⁵ × 5¹ × 13¹ × 23¹ × 17¹ × 563¹
LCM(47840,47855) = 457876640