What is the Least Common Multiple of 46940 and 46947?

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 46940 and 46947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46940 and 46947, than apply into the LCM equation.

GCF(46940,46947) = 1
LCM(46940,46947) = ( 46940 × 46947) / 1
LCM(46940,46947) = 2203692180 / 1
LCM(46940,46947) = 2203692180

Least Common Multiple (LCM) of 46940 and 46947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46940 and 46947. First we will calculate the prime factors of 46940 and 46947.

Prime Factorization of 46940

Prime Factorization of 46947

Now multiplying the highest exponent prime factors to calculate the LCM of 46940 and 46947.

LCM(46940,46947) = 2² × 5¹ × 2347¹ × 3¹ × 15649¹
LCM(46940,46947) = 2203692180