What is the Least Common Multiple of 46784 and 46789?

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 46784 and 46789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46784 and 46789, than apply into the LCM equation.

GCF(46784,46789) = 1
LCM(46784,46789) = ( 46784 × 46789) / 1
LCM(46784,46789) = 2188976576 / 1
LCM(46784,46789) = 2188976576

Least Common Multiple (LCM) of 46784 and 46789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46784 and 46789. First we will calculate the prime factors of 46784 and 46789.

Prime Factorization of 46784

Prime Factorization of 46789

Now multiplying the highest exponent prime factors to calculate the LCM of 46784 and 46789.

LCM(46784,46789) = 2⁶ × 17¹ × 43¹ × 71¹ × 659¹
LCM(46784,46789) = 2188976576