What is the Least Common Multiple of 65408 and 65419?

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 65408 and 65419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65408 and 65419, than apply into the LCM equation.

GCF(65408,65419) = 1
LCM(65408,65419) = ( 65408 × 65419) / 1
LCM(65408,65419) = 4278925952 / 1
LCM(65408,65419) = 4278925952

Least Common Multiple (LCM) of 65408 and 65419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65408 and 65419. First we will calculate the prime factors of 65408 and 65419.

Prime Factorization of 65408

Prime Factorization of 65419

Now multiplying the highest exponent prime factors to calculate the LCM of 65408 and 65419.

LCM(65408,65419) = 2⁷ × 7¹ × 73¹ × 65419¹
LCM(65408,65419) = 4278925952