What is the Least Common Multiple of 46774 and 46790?

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 46774 and 46790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46774 and 46790, than apply into the LCM equation.

GCF(46774,46790) = 2
LCM(46774,46790) = ( 46774 × 46790) / 2
LCM(46774,46790) = 2188555460 / 2
LCM(46774,46790) = 1094277730

Least Common Multiple (LCM) of 46774 and 46790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46774 and 46790. First we will calculate the prime factors of 46774 and 46790.

Prime Factorization of 46774

Prime Factorization of 46790

Now multiplying the highest exponent prime factors to calculate the LCM of 46774 and 46790.

LCM(46774,46790) = 2¹ × 7¹ × 13¹ × 257¹ × 5¹ × 4679¹
LCM(46774,46790) = 1094277730