What is the Least Common Multiple of 47827 and 47840?

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 47827 and 47840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47827 and 47840, than apply into the LCM equation.

GCF(47827,47840) = 13
LCM(47827,47840) = ( 47827 × 47840) / 13
LCM(47827,47840) = 2288043680 / 13
LCM(47827,47840) = 176003360

Least Common Multiple (LCM) of 47827 and 47840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47827 and 47840. First we will calculate the prime factors of 47827 and 47840.

Prime Factorization of 47827

Prime Factorization of 47840

Now multiplying the highest exponent prime factors to calculate the LCM of 47827 and 47840.

LCM(47827,47840) = 13² × 283¹ × 2⁵ × 5¹ × 23¹
LCM(47827,47840) = 176003360