What is the Least Common Multiple of 46782 and 46791?

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 46782 and 46791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46782 and 46791, than apply into the LCM equation.

GCF(46782,46791) = 9
LCM(46782,46791) = ( 46782 × 46791) / 9
LCM(46782,46791) = 2188976562 / 9
LCM(46782,46791) = 243219618

Least Common Multiple (LCM) of 46782 and 46791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46782 and 46791. First we will calculate the prime factors of 46782 and 46791.

Prime Factorization of 46782

Prime Factorization of 46791

Now multiplying the highest exponent prime factors to calculate the LCM of 46782 and 46791.

LCM(46782,46791) = 2¹ × 3³ × 23¹ × 113¹ × 1733¹
LCM(46782,46791) = 243219618