What is the Least Common Multiple of 46400 and 46420?

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 46420 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 46420, than apply into the LCM equation.

GCF(46400,46420) = 20
LCM(46400,46420) = ( 46400 × 46420) / 20
LCM(46400,46420) = 2153888000 / 20
LCM(46400,46420) = 107694400

Least Common Multiple (LCM) of 46400 and 46420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46400 and 46420. First we will calculate the prime factors of 46400 and 46420.

Prime Factorization of 46400

Prime Factorization of 46420

Now multiplying the highest exponent prime factors to calculate the LCM of 46400 and 46420.

LCM(46400,46420) = 2⁶ × 5² × 29¹ × 11¹ × 211¹
LCM(46400,46420) = 107694400