What is the Least Common Multiple of 65258 and 65274?

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 65258 and 65274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65258 and 65274, than apply into the LCM equation.

GCF(65258,65274) = 2
LCM(65258,65274) = ( 65258 × 65274) / 2
LCM(65258,65274) = 4259650692 / 2
LCM(65258,65274) = 2129825346

Least Common Multiple (LCM) of 65258 and 65274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65258 and 65274. First we will calculate the prime factors of 65258 and 65274.

Prime Factorization of 65258

Prime Factorization of 65274

Now multiplying the highest exponent prime factors to calculate the LCM of 65258 and 65274.

LCM(65258,65274) = 2¹ × 67¹ × 487¹ × 3¹ × 11¹ × 23¹ × 43¹
LCM(65258,65274) = 2129825346