What is the Least Common Multiple of 4801 and 4820?

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 4801 and 4820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4801 and 4820, than apply into the LCM equation.

GCF(4801,4820) = 1
LCM(4801,4820) = ( 4801 × 4820) / 1
LCM(4801,4820) = 23140820 / 1
LCM(4801,4820) = 23140820

Least Common Multiple (LCM) of 4801 and 4820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4801 and 4820. First we will calculate the prime factors of 4801 and 4820.

Prime Factorization of 4801

Prime Factorization of 4820

Now multiplying the highest exponent prime factors to calculate the LCM of 4801 and 4820.

LCM(4801,4820) = 4801¹ × 2² × 5¹ × 241¹
LCM(4801,4820) = 23140820