What is the Least Common Multiple of 46448 and 46454?

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 46448 and 46454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46448 and 46454, than apply into the LCM equation.

GCF(46448,46454) = 2
LCM(46448,46454) = ( 46448 × 46454) / 2
LCM(46448,46454) = 2157695392 / 2
LCM(46448,46454) = 1078847696

Least Common Multiple (LCM) of 46448 and 46454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46448 and 46454. First we will calculate the prime factors of 46448 and 46454.

Prime Factorization of 46448

Prime Factorization of 46454

Now multiplying the highest exponent prime factors to calculate the LCM of 46448 and 46454.

LCM(46448,46454) = 2⁴ × 2903¹ × 23227¹
LCM(46448,46454) = 1078847696