What is the Least Common Multiple of 46791 and 46805?

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 46791 and 46805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46791 and 46805, than apply into the LCM equation.

GCF(46791,46805) = 1
LCM(46791,46805) = ( 46791 × 46805) / 1
LCM(46791,46805) = 2190052755 / 1
LCM(46791,46805) = 2190052755

Least Common Multiple (LCM) of 46791 and 46805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46791 and 46805. First we will calculate the prime factors of 46791 and 46805.

Prime Factorization of 46791

Prime Factorization of 46805

Now multiplying the highest exponent prime factors to calculate the LCM of 46791 and 46805.

LCM(46791,46805) = 3³ × 1733¹ × 5¹ × 11¹ × 23¹ × 37¹
LCM(46791,46805) = 2190052755