What is the Least Common Multiple of 46472 and 46478?

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 46472 and 46478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46472 and 46478, than apply into the LCM equation.

GCF(46472,46478) = 2
LCM(46472,46478) = ( 46472 × 46478) / 2
LCM(46472,46478) = 2159925616 / 2
LCM(46472,46478) = 1079962808

Least Common Multiple (LCM) of 46472 and 46478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46472 and 46478. First we will calculate the prime factors of 46472 and 46478.

Prime Factorization of 46472

Prime Factorization of 46478

Now multiplying the highest exponent prime factors to calculate the LCM of 46472 and 46478.

LCM(46472,46478) = 2³ × 37¹ × 157¹ × 17¹ × 1367¹
LCM(46472,46478) = 1079962808