What is the Least Common Multiple of 4080 and 4100?

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 4080 and 4100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4080 and 4100, than apply into the LCM equation.

GCF(4080,4100) = 20
LCM(4080,4100) = ( 4080 × 4100) / 20
LCM(4080,4100) = 16728000 / 20
LCM(4080,4100) = 836400

Least Common Multiple (LCM) of 4080 and 4100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4080 and 4100. First we will calculate the prime factors of 4080 and 4100.

Prime Factorization of 4080

Prime Factorization of 4100

Now multiplying the highest exponent prime factors to calculate the LCM of 4080 and 4100.

LCM(4080,4100) = 2⁴ × 3¹ × 5² × 17¹ × 41¹
LCM(4080,4100) = 836400