What is the Least Common Multiple of 46992 and 47007?

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 46992 and 47007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46992 and 47007, than apply into the LCM equation.

GCF(46992,47007) = 3
LCM(46992,47007) = ( 46992 × 47007) / 3
LCM(46992,47007) = 2208952944 / 3
LCM(46992,47007) = 736317648

Least Common Multiple (LCM) of 46992 and 47007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46992 and 47007. First we will calculate the prime factors of 46992 and 47007.

Prime Factorization of 46992

Prime Factorization of 47007

Now multiplying the highest exponent prime factors to calculate the LCM of 46992 and 47007.

LCM(46992,47007) = 2⁴ × 3³ × 11¹ × 89¹ × 1741¹
LCM(46992,47007) = 736317648