What is the Least Common Multiple of 46403 and 46414?

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 46403 and 46414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46403 and 46414, than apply into the LCM equation.

GCF(46403,46414) = 1
LCM(46403,46414) = ( 46403 × 46414) / 1
LCM(46403,46414) = 2153748842 / 1
LCM(46403,46414) = 2153748842

Least Common Multiple (LCM) of 46403 and 46414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46403 and 46414. First we will calculate the prime factors of 46403 and 46414.

Prime Factorization of 46403

Prime Factorization of 46414

Now multiplying the highest exponent prime factors to calculate the LCM of 46403 and 46414.

LCM(46403,46414) = 7² × 947¹ × 2¹ × 23¹ × 1009¹
LCM(46403,46414) = 2153748842