What is the Least Common Multiple of 4805 and 4823?

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 4805 and 4823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4805 and 4823, than apply into the LCM equation.

GCF(4805,4823) = 1
LCM(4805,4823) = ( 4805 × 4823) / 1
LCM(4805,4823) = 23174515 / 1
LCM(4805,4823) = 23174515

Least Common Multiple (LCM) of 4805 and 4823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4805 and 4823. First we will calculate the prime factors of 4805 and 4823.

Prime Factorization of 4805

Prime Factorization of 4823

Now multiplying the highest exponent prime factors to calculate the LCM of 4805 and 4823.

LCM(4805,4823) = 5¹ × 31² × 7¹ × 13¹ × 53¹
LCM(4805,4823) = 23174515