What is the Least Common Multiple of 46774 and 46784?

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 46784 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 46784, than apply into the LCM equation.

GCF(46774,46784) = 2
LCM(46774,46784) = ( 46774 × 46784) / 2
LCM(46774,46784) = 2188274816 / 2
LCM(46774,46784) = 1094137408

Least Common Multiple (LCM) of 46774 and 46784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46774 and 46784. First we will calculate the prime factors of 46774 and 46784.

Prime Factorization of 46774

Prime Factorization of 46784

Now multiplying the highest exponent prime factors to calculate the LCM of 46774 and 46784.

LCM(46774,46784) = 2⁶ × 7¹ × 13¹ × 257¹ × 17¹ × 43¹
LCM(46774,46784) = 1094137408