What is the Least Common Multiple of 65415 and 65433?

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 65415 and 65433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65415 and 65433, than apply into the LCM equation.

GCF(65415,65433) = 3
LCM(65415,65433) = ( 65415 × 65433) / 3
LCM(65415,65433) = 4280299695 / 3
LCM(65415,65433) = 1426766565

Least Common Multiple (LCM) of 65415 and 65433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65415 and 65433. First we will calculate the prime factors of 65415 and 65433.

Prime Factorization of 65415

Prime Factorization of 65433

Now multiplying the highest exponent prime factors to calculate the LCM of 65415 and 65433.

LCM(65415,65433) = 3¹ × 5¹ × 7² × 89¹ × 17¹ × 1283¹
LCM(65415,65433) = 1426766565