What is the Least Common Multiple of 76080 and 76100?

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 76080 and 76100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76080 and 76100, than apply into the LCM equation.

GCF(76080,76100) = 20
LCM(76080,76100) = ( 76080 × 76100) / 20
LCM(76080,76100) = 5789688000 / 20
LCM(76080,76100) = 289484400

Least Common Multiple (LCM) of 76080 and 76100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76080 and 76100. First we will calculate the prime factors of 76080 and 76100.

Prime Factorization of 76080

Prime Factorization of 76100

Now multiplying the highest exponent prime factors to calculate the LCM of 76080 and 76100.

LCM(76080,76100) = 2⁴ × 3¹ × 5² × 317¹ × 761¹
LCM(76080,76100) = 289484400