What is the Least Common Multiple of 65475 and 65484?

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 65475 and 65484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65475 and 65484, than apply into the LCM equation.

GCF(65475,65484) = 9
LCM(65475,65484) = ( 65475 × 65484) / 9
LCM(65475,65484) = 4287564900 / 9
LCM(65475,65484) = 476396100

Least Common Multiple (LCM) of 65475 and 65484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65475 and 65484. First we will calculate the prime factors of 65475 and 65484.

Prime Factorization of 65475

Prime Factorization of 65484

Now multiplying the highest exponent prime factors to calculate the LCM of 65475 and 65484.

LCM(65475,65484) = 3³ × 5² × 97¹ × 2² × 17¹ × 107¹
LCM(65475,65484) = 476396100