What is the Least Common Multiple of 4815 and 4835?

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 4815 and 4835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4815 and 4835, than apply into the LCM equation.

GCF(4815,4835) = 5
LCM(4815,4835) = ( 4815 × 4835) / 5
LCM(4815,4835) = 23280525 / 5
LCM(4815,4835) = 4656105

Least Common Multiple (LCM) of 4815 and 4835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4815 and 4835. First we will calculate the prime factors of 4815 and 4835.

Prime Factorization of 4815

Prime Factorization of 4835

Now multiplying the highest exponent prime factors to calculate the LCM of 4815 and 4835.

LCM(4815,4835) = 3² × 5¹ × 107¹ × 967¹
LCM(4815,4835) = 4656105