What is the Least Common Multiple of 4832 and 4842?

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 4832 and 4842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4832 and 4842, than apply into the LCM equation.

GCF(4832,4842) = 2
LCM(4832,4842) = ( 4832 × 4842) / 2
LCM(4832,4842) = 23396544 / 2
LCM(4832,4842) = 11698272

Least Common Multiple (LCM) of 4832 and 4842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4832 and 4842. First we will calculate the prime factors of 4832 and 4842.

Prime Factorization of 4832

Prime Factorization of 4842

Now multiplying the highest exponent prime factors to calculate the LCM of 4832 and 4842.

LCM(4832,4842) = 2⁵ × 151¹ × 3² × 269¹
LCM(4832,4842) = 11698272