What is the Least Common Multiple of 46744 and 46757?

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 46744 and 46757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46744 and 46757, than apply into the LCM equation.

GCF(46744,46757) = 1
LCM(46744,46757) = ( 46744 × 46757) / 1
LCM(46744,46757) = 2185609208 / 1
LCM(46744,46757) = 2185609208

Least Common Multiple (LCM) of 46744 and 46757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46744 and 46757. First we will calculate the prime factors of 46744 and 46757.

Prime Factorization of 46744

Prime Factorization of 46757

Now multiplying the highest exponent prime factors to calculate the LCM of 46744 and 46757.

LCM(46744,46757) = 2³ × 5843¹ × 46757¹
LCM(46744,46757) = 2185609208