What is the Least Common Multiple of 46836 and 46848?

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 46836 and 46848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46836 and 46848, than apply into the LCM equation.

GCF(46836,46848) = 12
LCM(46836,46848) = ( 46836 × 46848) / 12
LCM(46836,46848) = 2194172928 / 12
LCM(46836,46848) = 182847744

Least Common Multiple (LCM) of 46836 and 46848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46836 and 46848. First we will calculate the prime factors of 46836 and 46848.

Prime Factorization of 46836

Prime Factorization of 46848

Now multiplying the highest exponent prime factors to calculate the LCM of 46836 and 46848.

LCM(46836,46848) = 2⁸ × 3² × 1301¹ × 61¹
LCM(46836,46848) = 182847744