What is the Least Common Multiple of 46856 and 46874?

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 46856 and 46874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46856 and 46874, than apply into the LCM equation.

GCF(46856,46874) = 2
LCM(46856,46874) = ( 46856 × 46874) / 2
LCM(46856,46874) = 2196328144 / 2
LCM(46856,46874) = 1098164072

Least Common Multiple (LCM) of 46856 and 46874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46856 and 46874. First we will calculate the prime factors of 46856 and 46874.

Prime Factorization of 46856

Prime Factorization of 46874

Now multiplying the highest exponent prime factors to calculate the LCM of 46856 and 46874.

LCM(46856,46874) = 2³ × 5857¹ × 23¹ × 1019¹
LCM(46856,46874) = 1098164072