What is the Least Common Multiple of 46464 and 46475?

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 46464 and 46475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46464 and 46475, than apply into the LCM equation.

GCF(46464,46475) = 11
LCM(46464,46475) = ( 46464 × 46475) / 11
LCM(46464,46475) = 2159414400 / 11
LCM(46464,46475) = 196310400

Least Common Multiple (LCM) of 46464 and 46475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46464 and 46475. First we will calculate the prime factors of 46464 and 46475.

Prime Factorization of 46464

Prime Factorization of 46475

Now multiplying the highest exponent prime factors to calculate the LCM of 46464 and 46475.

LCM(46464,46475) = 2⁷ × 3¹ × 11² × 5² × 13²
LCM(46464,46475) = 196310400