What is the Least Common Multiple of 4850 and 4864?

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 4850 and 4864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4850 and 4864, than apply into the LCM equation.

GCF(4850,4864) = 2
LCM(4850,4864) = ( 4850 × 4864) / 2
LCM(4850,4864) = 23590400 / 2
LCM(4850,4864) = 11795200

Least Common Multiple (LCM) of 4850 and 4864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4850 and 4864. First we will calculate the prime factors of 4850 and 4864.

Prime Factorization of 4850

Prime Factorization of 4864

Now multiplying the highest exponent prime factors to calculate the LCM of 4850 and 4864.

LCM(4850,4864) = 2⁸ × 5² × 97¹ × 19¹
LCM(4850,4864) = 11795200