What is the Least Common Multiple of 4838 and 4857?

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 4838 and 4857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4838 and 4857, than apply into the LCM equation.

GCF(4838,4857) = 1
LCM(4838,4857) = ( 4838 × 4857) / 1
LCM(4838,4857) = 23498166 / 1
LCM(4838,4857) = 23498166

Least Common Multiple (LCM) of 4838 and 4857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4838 and 4857. First we will calculate the prime factors of 4838 and 4857.

Prime Factorization of 4838

Prime Factorization of 4857

Now multiplying the highest exponent prime factors to calculate the LCM of 4838 and 4857.

LCM(4838,4857) = 2¹ × 41¹ × 59¹ × 3¹ × 1619¹
LCM(4838,4857) = 23498166