What is the Least Common Multiple of 46688 and 46706?

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 46688 and 46706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46688 and 46706, than apply into the LCM equation.

GCF(46688,46706) = 2
LCM(46688,46706) = ( 46688 × 46706) / 2
LCM(46688,46706) = 2180609728 / 2
LCM(46688,46706) = 1090304864

Least Common Multiple (LCM) of 46688 and 46706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46688 and 46706. First we will calculate the prime factors of 46688 and 46706.

Prime Factorization of 46688

Prime Factorization of 46706

Now multiplying the highest exponent prime factors to calculate the LCM of 46688 and 46706.

LCM(46688,46706) = 2⁵ × 1459¹ × 11² × 193¹
LCM(46688,46706) = 1090304864