What is the Least Common Multiple of 46827 and 46846?

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 46827 and 46846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46827 and 46846, than apply into the LCM equation.

GCF(46827,46846) = 1
LCM(46827,46846) = ( 46827 × 46846) / 1
LCM(46827,46846) = 2193657642 / 1
LCM(46827,46846) = 2193657642

Least Common Multiple (LCM) of 46827 and 46846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46827 and 46846. First we will calculate the prime factors of 46827 and 46846.

Prime Factorization of 46827

Prime Factorization of 46846

Now multiplying the highest exponent prime factors to calculate the LCM of 46827 and 46846.

LCM(46827,46846) = 3² × 11² × 43¹ × 2¹ × 59¹ × 397¹
LCM(46827,46846) = 2193657642