What is the Least Common Multiple of 46646 and 46659?

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 46646 and 46659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46646 and 46659, than apply into the LCM equation.

GCF(46646,46659) = 1
LCM(46646,46659) = ( 46646 × 46659) / 1
LCM(46646,46659) = 2176455714 / 1
LCM(46646,46659) = 2176455714

Least Common Multiple (LCM) of 46646 and 46659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46646 and 46659. First we will calculate the prime factors of 46646 and 46659.

Prime Factorization of 46646

Prime Factorization of 46659

Now multiplying the highest exponent prime factors to calculate the LCM of 46646 and 46659.

LCM(46646,46659) = 2¹ × 83¹ × 281¹ × 3¹ × 103¹ × 151¹
LCM(46646,46659) = 2176455714