What is the Least Common Multiple of 16459 and 16465?

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 16459 and 16465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16459 and 16465, than apply into the LCM equation.

GCF(16459,16465) = 1
LCM(16459,16465) = ( 16459 × 16465) / 1
LCM(16459,16465) = 270997435 / 1
LCM(16459,16465) = 270997435

Least Common Multiple (LCM) of 16459 and 16465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16459 and 16465. First we will calculate the prime factors of 16459 and 16465.

Prime Factorization of 16459

Prime Factorization of 16465

Now multiplying the highest exponent prime factors to calculate the LCM of 16459 and 16465.

LCM(16459,16465) = 109¹ × 151¹ × 5¹ × 37¹ × 89¹
LCM(16459,16465) = 270997435