What is the Least Common Multiple of 65057 and 65063?

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 65057 and 65063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65057 and 65063, than apply into the LCM equation.

GCF(65057,65063) = 1
LCM(65057,65063) = ( 65057 × 65063) / 1
LCM(65057,65063) = 4232803591 / 1
LCM(65057,65063) = 4232803591

Least Common Multiple (LCM) of 65057 and 65063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65057 and 65063. First we will calculate the prime factors of 65057 and 65063.

Prime Factorization of 65057

Prime Factorization of 65063

Now multiplying the highest exponent prime factors to calculate the LCM of 65057 and 65063.

LCM(65057,65063) = 67¹ × 971¹ × 65063¹
LCM(65057,65063) = 4232803591