What is the Least Common Multiple of 65302 and 65306?

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 65302 and 65306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65302 and 65306, than apply into the LCM equation.

GCF(65302,65306) = 2
LCM(65302,65306) = ( 65302 × 65306) / 2
LCM(65302,65306) = 4264612412 / 2
LCM(65302,65306) = 2132306206

Least Common Multiple (LCM) of 65302 and 65306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65302 and 65306. First we will calculate the prime factors of 65302 and 65306.

Prime Factorization of 65302

Prime Factorization of 65306

Now multiplying the highest exponent prime factors to calculate the LCM of 65302 and 65306.

LCM(65302,65306) = 2¹ × 103¹ × 317¹ × 32653¹
LCM(65302,65306) = 2132306206