What is the Least Common Multiple of 46647 and 46656?

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 46647 and 46656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46647 and 46656, than apply into the LCM equation.

GCF(46647,46656) = 9
LCM(46647,46656) = ( 46647 × 46656) / 9
LCM(46647,46656) = 2176362432 / 9
LCM(46647,46656) = 241818048

Least Common Multiple (LCM) of 46647 and 46656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46647 and 46656. First we will calculate the prime factors of 46647 and 46656.

Prime Factorization of 46647

Prime Factorization of 46656

Now multiplying the highest exponent prime factors to calculate the LCM of 46647 and 46656.

LCM(46647,46656) = 3⁶ × 71¹ × 73¹ × 2⁶
LCM(46647,46656) = 241818048