GCF and LCM Calculator Logo

What is the Least Common Multiple of 46458 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 (LCM) of 46458 and 46464 is 359770752.

LCM(46458,46464) = 359770752

LCM Calculator and
and

Least Common Multiple of 46458 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 46458 and 46464, than apply into the LCM equation.

GCF(46458,46464) = 6
LCM(46458,46464) = ( 46458 × 46464) / 6
LCM(46458,46464) = 2158624512 / 6
LCM(46458,46464) = 359770752

Least Common Multiple (LCM) of 46458 and 46464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46458 and 46464. First we will calculate the prime factors of 46458 and 46464.

Prime Factorization of 46458

Prime factors of 46458 are 2, 3, 29, 89. Prime factorization of 46458 in exponential form is:

46458 = 21 × 32 × 291 × 891

Prime Factorization of 46464

Prime factors of 46464 are 2, 3, 11. Prime factorization of 46464 in exponential form is:

46464 = 27 × 31 × 112

Now multiplying the highest exponent prime factors to calculate the LCM of 46458 and 46464.

LCM(46458,46464) = 27 × 32 × 291 × 891 × 112
LCM(46458,46464) = 359770752