What is the Least Common Multiple of 46400 and 46417?

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 46400 and 46417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46400 and 46417, than apply into the LCM equation.

GCF(46400,46417) = 1
LCM(46400,46417) = ( 46400 × 46417) / 1
LCM(46400,46417) = 2153748800 / 1
LCM(46400,46417) = 2153748800

Least Common Multiple (LCM) of 46400 and 46417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46400 and 46417. First we will calculate the prime factors of 46400 and 46417.

Prime Factorization of 46400

Prime Factorization of 46417

Now multiplying the highest exponent prime factors to calculate the LCM of 46400 and 46417.

LCM(46400,46417) = 2⁶ × 5² × 29¹ × 7¹ × 19¹ × 349¹
LCM(46400,46417) = 2153748800