What is the Least Common Multiple of 46277 and 46291?

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 46277 and 46291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46277 and 46291, than apply into the LCM equation.

GCF(46277,46291) = 7
LCM(46277,46291) = ( 46277 × 46291) / 7
LCM(46277,46291) = 2142208607 / 7
LCM(46277,46291) = 306029801

Least Common Multiple (LCM) of 46277 and 46291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46277 and 46291. First we will calculate the prime factors of 46277 and 46291.

Prime Factorization of 46277

Prime Factorization of 46291

Now multiplying the highest exponent prime factors to calculate the LCM of 46277 and 46291.

LCM(46277,46291) = 7¹ × 11¹ × 601¹ × 17¹ × 389¹
LCM(46277,46291) = 306029801