What is the Least Common Multiple of 4836 and 4856?

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 4836 and 4856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4836 and 4856, than apply into the LCM equation.

GCF(4836,4856) = 4
LCM(4836,4856) = ( 4836 × 4856) / 4
LCM(4836,4856) = 23483616 / 4
LCM(4836,4856) = 5870904

Least Common Multiple (LCM) of 4836 and 4856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4836 and 4856. First we will calculate the prime factors of 4836 and 4856.

Prime Factorization of 4836

Prime Factorization of 4856

Now multiplying the highest exponent prime factors to calculate the LCM of 4836 and 4856.

LCM(4836,4856) = 2³ × 3¹ × 13¹ × 31¹ × 607¹
LCM(4836,4856) = 5870904