What is the Least Common Multiple of 65340 and 65348?

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 65340 and 65348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65340 and 65348, than apply into the LCM equation.

GCF(65340,65348) = 4
LCM(65340,65348) = ( 65340 × 65348) / 4
LCM(65340,65348) = 4269838320 / 4
LCM(65340,65348) = 1067459580

Least Common Multiple (LCM) of 65340 and 65348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65340 and 65348. First we will calculate the prime factors of 65340 and 65348.

Prime Factorization of 65340

Prime Factorization of 65348

Now multiplying the highest exponent prime factors to calculate the LCM of 65340 and 65348.

LCM(65340,65348) = 2² × 3³ × 5¹ × 11² × 17¹ × 31²
LCM(65340,65348) = 1067459580