What is the Least Common Multiple of 47840 and 47854?

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 47854 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 47854, than apply into the LCM equation.

GCF(47840,47854) = 2
LCM(47840,47854) = ( 47840 × 47854) / 2
LCM(47840,47854) = 2289335360 / 2
LCM(47840,47854) = 1144667680

Least Common Multiple (LCM) of 47840 and 47854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47840 and 47854. First we will calculate the prime factors of 47840 and 47854.

Prime Factorization of 47840

Prime Factorization of 47854

Now multiplying the highest exponent prime factors to calculate the LCM of 47840 and 47854.

LCM(47840,47854) = 2⁵ × 5¹ × 13¹ × 23¹ × 71¹ × 337¹
LCM(47840,47854) = 1144667680