What is the Least Common Multiple of 76055 and 76073?

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 76055 and 76073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76055 and 76073, than apply into the LCM equation.

GCF(76055,76073) = 1
LCM(76055,76073) = ( 76055 × 76073) / 1
LCM(76055,76073) = 5785732015 / 1
LCM(76055,76073) = 5785732015

Least Common Multiple (LCM) of 76055 and 76073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76055 and 76073. First we will calculate the prime factors of 76055 and 76073.

Prime Factorization of 76055

Prime Factorization of 76073

Now multiplying the highest exponent prime factors to calculate the LCM of 76055 and 76073.

LCM(76055,76073) = 5¹ × 7¹ × 41¹ × 53¹ × 127¹ × 599¹
LCM(76055,76073) = 5785732015