What is the Least Common Multiple of 46665 and 46675?

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 46665 and 46675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46665 and 46675, than apply into the LCM equation.

GCF(46665,46675) = 5
LCM(46665,46675) = ( 46665 × 46675) / 5
LCM(46665,46675) = 2178088875 / 5
LCM(46665,46675) = 435617775

Least Common Multiple (LCM) of 46665 and 46675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46665 and 46675. First we will calculate the prime factors of 46665 and 46675.

Prime Factorization of 46665

Prime Factorization of 46675

Now multiplying the highest exponent prime factors to calculate the LCM of 46665 and 46675.

LCM(46665,46675) = 3² × 5² × 17¹ × 61¹ × 1867¹
LCM(46665,46675) = 435617775