What is the Least Common Multiple of 46724 and 46741?

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 46724 and 46741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46724 and 46741, than apply into the LCM equation.

GCF(46724,46741) = 1
LCM(46724,46741) = ( 46724 × 46741) / 1
LCM(46724,46741) = 2183926484 / 1
LCM(46724,46741) = 2183926484

Least Common Multiple (LCM) of 46724 and 46741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46724 and 46741. First we will calculate the prime factors of 46724 and 46741.

Prime Factorization of 46724

Prime Factorization of 46741

Now multiplying the highest exponent prime factors to calculate the LCM of 46724 and 46741.

LCM(46724,46741) = 2² × 11681¹ × 43¹ × 1087¹
LCM(46724,46741) = 2183926484