What is the Least Common Multiple of 65344 and 65354?

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 65344 and 65354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65344 and 65354, than apply into the LCM equation.

GCF(65344,65354) = 2
LCM(65344,65354) = ( 65344 × 65354) / 2
LCM(65344,65354) = 4270491776 / 2
LCM(65344,65354) = 2135245888

Least Common Multiple (LCM) of 65344 and 65354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65344 and 65354. First we will calculate the prime factors of 65344 and 65354.

Prime Factorization of 65344

Prime Factorization of 65354

Now multiplying the highest exponent prime factors to calculate the LCM of 65344 and 65354.

LCM(65344,65354) = 2⁶ × 1021¹ × 41¹ × 797¹
LCM(65344,65354) = 2135245888