What is the Least Common Multiple of 4869 and 4877?

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 4869 and 4877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4869 and 4877, than apply into the LCM equation.

GCF(4869,4877) = 1
LCM(4869,4877) = ( 4869 × 4877) / 1
LCM(4869,4877) = 23746113 / 1
LCM(4869,4877) = 23746113

Least Common Multiple (LCM) of 4869 and 4877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4869 and 4877. First we will calculate the prime factors of 4869 and 4877.

Prime Factorization of 4869

Prime Factorization of 4877

Now multiplying the highest exponent prime factors to calculate the LCM of 4869 and 4877.

LCM(4869,4877) = 3² × 541¹ × 4877¹
LCM(4869,4877) = 23746113