What is the Least Common Multiple of 46731 and 46749?

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 46731 and 46749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46731 and 46749, than apply into the LCM equation.

GCF(46731,46749) = 3
LCM(46731,46749) = ( 46731 × 46749) / 3
LCM(46731,46749) = 2184627519 / 3
LCM(46731,46749) = 728209173

Least Common Multiple (LCM) of 46731 and 46749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46731 and 46749. First we will calculate the prime factors of 46731 and 46749.

Prime Factorization of 46731

Prime Factorization of 46749

Now multiplying the highest exponent prime factors to calculate the LCM of 46731 and 46749.

LCM(46731,46749) = 3¹ × 37¹ × 421¹ × 15583¹
LCM(46731,46749) = 728209173