What is the Least Common Multiple of 46712 and 46731?

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 46712 and 46731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46712 and 46731, than apply into the LCM equation.

GCF(46712,46731) = 1
LCM(46712,46731) = ( 46712 × 46731) / 1
LCM(46712,46731) = 2182898472 / 1
LCM(46712,46731) = 2182898472

Least Common Multiple (LCM) of 46712 and 46731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46712 and 46731. First we will calculate the prime factors of 46712 and 46731.

Prime Factorization of 46712

Prime Factorization of 46731

Now multiplying the highest exponent prime factors to calculate the LCM of 46712 and 46731.

LCM(46712,46731) = 2³ × 5839¹ × 3¹ × 37¹ × 421¹
LCM(46712,46731) = 2182898472