What is the Least Common Multiple of 65348 and 65366?

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 65348 and 65366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65348 and 65366, than apply into the LCM equation.

GCF(65348,65366) = 2
LCM(65348,65366) = ( 65348 × 65366) / 2
LCM(65348,65366) = 4271537368 / 2
LCM(65348,65366) = 2135768684

Least Common Multiple (LCM) of 65348 and 65366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65348 and 65366. First we will calculate the prime factors of 65348 and 65366.

Prime Factorization of 65348

Prime Factorization of 65366

Now multiplying the highest exponent prime factors to calculate the LCM of 65348 and 65366.

LCM(65348,65366) = 2² × 17¹ × 31² × 7² × 23¹ × 29¹
LCM(65348,65366) = 2135768684