What is the Least Common Multiple of 46449 and 46464?

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 46449 and 46464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46449 and 46464, than apply into the LCM equation.

GCF(46449,46464) = 3
LCM(46449,46464) = ( 46449 × 46464) / 3
LCM(46449,46464) = 2158206336 / 3
LCM(46449,46464) = 719402112

Least Common Multiple (LCM) of 46449 and 46464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46449 and 46464. First we will calculate the prime factors of 46449 and 46464.

Prime Factorization of 46449

Prime Factorization of 46464

Now multiplying the highest exponent prime factors to calculate the LCM of 46449 and 46464.

LCM(46449,46464) = 3² × 13¹ × 397¹ × 2⁷ × 11²
LCM(46449,46464) = 719402112