What is the Least Common Multiple of 4100 and 4116?

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 4100 and 4116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4100 and 4116, than apply into the LCM equation.

GCF(4100,4116) = 4
LCM(4100,4116) = ( 4100 × 4116) / 4
LCM(4100,4116) = 16875600 / 4
LCM(4100,4116) = 4218900

Least Common Multiple (LCM) of 4100 and 4116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4100 and 4116. First we will calculate the prime factors of 4100 and 4116.

Prime Factorization of 4100

Prime Factorization of 4116

Now multiplying the highest exponent prime factors to calculate the LCM of 4100 and 4116.

LCM(4100,4116) = 2² × 5² × 41¹ × 3¹ × 7³
LCM(4100,4116) = 4218900