What is the Least Common Multiple of 46860 and 46871?

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 46860 and 46871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46860 and 46871, than apply into the LCM equation.

GCF(46860,46871) = 11
LCM(46860,46871) = ( 46860 × 46871) / 11
LCM(46860,46871) = 2196375060 / 11
LCM(46860,46871) = 199670460

Least Common Multiple (LCM) of 46860 and 46871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46860 and 46871. First we will calculate the prime factors of 46860 and 46871.

Prime Factorization of 46860

Prime Factorization of 46871

Now multiplying the highest exponent prime factors to calculate the LCM of 46860 and 46871.

LCM(46860,46871) = 2² × 3¹ × 5¹ × 11¹ × 71¹ × 4261¹
LCM(46860,46871) = 199670460