What is the Least Common Multiple of 65342 and 65362?

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 65342 and 65362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65342 and 65362, than apply into the LCM equation.

GCF(65342,65362) = 2
LCM(65342,65362) = ( 65342 × 65362) / 2
LCM(65342,65362) = 4270883804 / 2
LCM(65342,65362) = 2135441902

Least Common Multiple (LCM) of 65342 and 65362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65342 and 65362. First we will calculate the prime factors of 65342 and 65362.

Prime Factorization of 65342

Prime Factorization of 65362

Now multiplying the highest exponent prime factors to calculate the LCM of 65342 and 65362.

LCM(65342,65362) = 2¹ × 37¹ × 883¹ × 11¹ × 2971¹
LCM(65342,65362) = 2135441902