What is the Least Common Multiple of 4854 and 4870?

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 4854 and 4870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4854 and 4870, than apply into the LCM equation.

GCF(4854,4870) = 2
LCM(4854,4870) = ( 4854 × 4870) / 2
LCM(4854,4870) = 23638980 / 2
LCM(4854,4870) = 11819490

Least Common Multiple (LCM) of 4854 and 4870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4854 and 4870. First we will calculate the prime factors of 4854 and 4870.

Prime Factorization of 4854

Prime Factorization of 4870

Now multiplying the highest exponent prime factors to calculate the LCM of 4854 and 4870.

LCM(4854,4870) = 2¹ × 3¹ × 809¹ × 5¹ × 487¹
LCM(4854,4870) = 11819490