What is the Least Common Multiple of 47854 and 47874?

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 47854 and 47874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47854 and 47874, than apply into the LCM equation.

GCF(47854,47874) = 2
LCM(47854,47874) = ( 47854 × 47874) / 2
LCM(47854,47874) = 2290962396 / 2
LCM(47854,47874) = 1145481198

Least Common Multiple (LCM) of 47854 and 47874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47854 and 47874. First we will calculate the prime factors of 47854 and 47874.

Prime Factorization of 47854

Prime Factorization of 47874

Now multiplying the highest exponent prime factors to calculate the LCM of 47854 and 47874.

LCM(47854,47874) = 2¹ × 71¹ × 337¹ × 3¹ × 79¹ × 101¹
LCM(47854,47874) = 1145481198