What is the Least Common Multiple of 46474 and 46490?

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 46474 and 46490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46474 and 46490, than apply into the LCM equation.

GCF(46474,46490) = 2
LCM(46474,46490) = ( 46474 × 46490) / 2
LCM(46474,46490) = 2160576260 / 2
LCM(46474,46490) = 1080288130

Least Common Multiple (LCM) of 46474 and 46490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46474 and 46490. First we will calculate the prime factors of 46474 and 46490.

Prime Factorization of 46474

Prime Factorization of 46490

Now multiplying the highest exponent prime factors to calculate the LCM of 46474 and 46490.

LCM(46474,46490) = 2¹ × 19¹ × 1223¹ × 5¹ × 4649¹
LCM(46474,46490) = 1080288130