What is the Least Common Multiple of 46688 and 46704?

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 46704 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 46704, than apply into the LCM equation.

GCF(46688,46704) = 16
LCM(46688,46704) = ( 46688 × 46704) / 16
LCM(46688,46704) = 2180516352 / 16
LCM(46688,46704) = 136282272

Least Common Multiple (LCM) of 46688 and 46704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46688 and 46704. First we will calculate the prime factors of 46688 and 46704.

Prime Factorization of 46688

Prime Factorization of 46704

Now multiplying the highest exponent prime factors to calculate the LCM of 46688 and 46704.

LCM(46688,46704) = 2⁵ × 1459¹ × 3¹ × 7¹ × 139¹
LCM(46688,46704) = 136282272