What is the Least Common Multiple of 46674 and 46683?

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 46674 and 46683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46674 and 46683, than apply into the LCM equation.

GCF(46674,46683) = 9
LCM(46674,46683) = ( 46674 × 46683) / 9
LCM(46674,46683) = 2178882342 / 9
LCM(46674,46683) = 242098038

Least Common Multiple (LCM) of 46674 and 46683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46674 and 46683. First we will calculate the prime factors of 46674 and 46683.

Prime Factorization of 46674

Prime Factorization of 46683

Now multiplying the highest exponent prime factors to calculate the LCM of 46674 and 46683.

LCM(46674,46683) = 2¹ × 3³ × 2593¹ × 7¹ × 13¹ × 19¹
LCM(46674,46683) = 242098038