What is the Least Common Multiple of 46459 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 46459 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 46459 and 46464, than apply into the LCM equation.

GCF(46459,46464) = 1
LCM(46459,46464) = ( 46459 × 46464) / 1
LCM(46459,46464) = 2158670976 / 1
LCM(46459,46464) = 2158670976

Least Common Multiple (LCM) of 46459 and 46464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46459 and 46464. First we will calculate the prime factors of 46459 and 46464.

Prime Factorization of 46459

Prime Factorization of 46464

Now multiplying the highest exponent prime factors to calculate the LCM of 46459 and 46464.

LCM(46459,46464) = 7¹ × 6637¹ × 2⁷ × 3¹ × 11²
LCM(46459,46464) = 2158670976