What is the Least Common Multiple of 46740 and 46751?

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 46740 and 46751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46740 and 46751, than apply into the LCM equation.

GCF(46740,46751) = 1
LCM(46740,46751) = ( 46740 × 46751) / 1
LCM(46740,46751) = 2185141740 / 1
LCM(46740,46751) = 2185141740

Least Common Multiple (LCM) of 46740 and 46751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46740 and 46751. First we will calculate the prime factors of 46740 and 46751.

Prime Factorization of 46740

Prime Factorization of 46751

Now multiplying the highest exponent prime factors to calculate the LCM of 46740 and 46751.

LCM(46740,46751) = 2² × 3¹ × 5¹ × 19¹ × 41¹ × 46751¹
LCM(46740,46751) = 2185141740