What is the Least Common Multiple of 84965 and 84975?

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 84965 and 84975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84965 and 84975, than apply into the LCM equation.

GCF(84965,84975) = 5
LCM(84965,84975) = ( 84965 × 84975) / 5
LCM(84965,84975) = 7219900875 / 5
LCM(84965,84975) = 1443980175

Least Common Multiple (LCM) of 84965 and 84975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84965 and 84975. First we will calculate the prime factors of 84965 and 84975.

Prime Factorization of 84965

Prime Factorization of 84975

Now multiplying the highest exponent prime factors to calculate the LCM of 84965 and 84975.

LCM(84965,84975) = 5² × 16993¹ × 3¹ × 11¹ × 103¹
LCM(84965,84975) = 1443980175