What is the Least Common Multiple of 75990 and 76005?

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 75990 and 76005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75990 and 76005, than apply into the LCM equation.

GCF(75990,76005) = 15
LCM(75990,76005) = ( 75990 × 76005) / 15
LCM(75990,76005) = 5775619950 / 15
LCM(75990,76005) = 385041330

Least Common Multiple (LCM) of 75990 and 76005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75990 and 76005. First we will calculate the prime factors of 75990 and 76005.

Prime Factorization of 75990

Prime Factorization of 76005

Now multiplying the highest exponent prime factors to calculate the LCM of 75990 and 76005.

LCM(75990,76005) = 2¹ × 3³ × 5¹ × 17¹ × 149¹ × 563¹
LCM(75990,76005) = 385041330