What is the Least Common Multiple of 65024 and 65036?

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 65024 and 65036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65024 and 65036, than apply into the LCM equation.

GCF(65024,65036) = 4
LCM(65024,65036) = ( 65024 × 65036) / 4
LCM(65024,65036) = 4228900864 / 4
LCM(65024,65036) = 1057225216

Least Common Multiple (LCM) of 65024 and 65036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65024 and 65036. First we will calculate the prime factors of 65024 and 65036.

Prime Factorization of 65024

Prime Factorization of 65036

Now multiplying the highest exponent prime factors to calculate the LCM of 65024 and 65036.

LCM(65024,65036) = 2⁹ × 127¹ × 71¹ × 229¹
LCM(65024,65036) = 1057225216