What is the Least Common Multiple of 4823 and 4836?

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 4823 and 4836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4823 and 4836, than apply into the LCM equation.

GCF(4823,4836) = 13
LCM(4823,4836) = ( 4823 × 4836) / 13
LCM(4823,4836) = 23324028 / 13
LCM(4823,4836) = 1794156

Least Common Multiple (LCM) of 4823 and 4836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4823 and 4836. First we will calculate the prime factors of 4823 and 4836.

Prime Factorization of 4823

Prime Factorization of 4836

Now multiplying the highest exponent prime factors to calculate the LCM of 4823 and 4836.

LCM(4823,4836) = 7¹ × 13¹ × 53¹ × 2² × 3¹ × 31¹
LCM(4823,4836) = 1794156