What is the Least Common Multiple of 46768 and 46782?

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 46768 and 46782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46768 and 46782, than apply into the LCM equation.

GCF(46768,46782) = 2
LCM(46768,46782) = ( 46768 × 46782) / 2
LCM(46768,46782) = 2187900576 / 2
LCM(46768,46782) = 1093950288

Least Common Multiple (LCM) of 46768 and 46782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46768 and 46782. First we will calculate the prime factors of 46768 and 46782.

Prime Factorization of 46768

Prime Factorization of 46782

Now multiplying the highest exponent prime factors to calculate the LCM of 46768 and 46782.

LCM(46768,46782) = 2⁴ × 37¹ × 79¹ × 3² × 23¹ × 113¹
LCM(46768,46782) = 1093950288