What is the Least Common Multiple of 46858 and 46877?

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 46858 and 46877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46858 and 46877, than apply into the LCM equation.

GCF(46858,46877) = 1
LCM(46858,46877) = ( 46858 × 46877) / 1
LCM(46858,46877) = 2196562466 / 1
LCM(46858,46877) = 2196562466

Least Common Multiple (LCM) of 46858 and 46877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46858 and 46877. First we will calculate the prime factors of 46858 and 46877.

Prime Factorization of 46858

Prime Factorization of 46877

Now multiplying the highest exponent prime factors to calculate the LCM of 46858 and 46877.

LCM(46858,46877) = 2¹ × 7¹ × 3347¹ × 46877¹
LCM(46858,46877) = 2196562466