What is the Least Common Multiple of 65016 and 65031?

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 65016 and 65031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65016 and 65031, than apply into the LCM equation.

GCF(65016,65031) = 3
LCM(65016,65031) = ( 65016 × 65031) / 3
LCM(65016,65031) = 4228055496 / 3
LCM(65016,65031) = 1409351832

Least Common Multiple (LCM) of 65016 and 65031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65016 and 65031. First we will calculate the prime factors of 65016 and 65031.

Prime Factorization of 65016

Prime Factorization of 65031

Now multiplying the highest exponent prime factors to calculate the LCM of 65016 and 65031.

LCM(65016,65031) = 2³ × 3³ × 7¹ × 43¹ × 53¹ × 409¹
LCM(65016,65031) = 1409351832