What is the Least Common Multiple of 46803 and 46818?

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 46803 and 46818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46803 and 46818, than apply into the LCM equation.

GCF(46803,46818) = 3
LCM(46803,46818) = ( 46803 × 46818) / 3
LCM(46803,46818) = 2191222854 / 3
LCM(46803,46818) = 730407618

Least Common Multiple (LCM) of 46803 and 46818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46803 and 46818. First we will calculate the prime factors of 46803 and 46818.

Prime Factorization of 46803

Prime Factorization of 46818

Now multiplying the highest exponent prime factors to calculate the LCM of 46803 and 46818.

LCM(46803,46818) = 3⁴ × 15601¹ × 2¹ × 17²
LCM(46803,46818) = 730407618