What is the Least Common Multiple of 46626 and 46632?

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 46626 and 46632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46626 and 46632, than apply into the LCM equation.

GCF(46626,46632) = 6
LCM(46626,46632) = ( 46626 × 46632) / 6
LCM(46626,46632) = 2174263632 / 6
LCM(46626,46632) = 362377272

Least Common Multiple (LCM) of 46626 and 46632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46626 and 46632. First we will calculate the prime factors of 46626 and 46632.

Prime Factorization of 46626

Prime Factorization of 46632

Now multiplying the highest exponent prime factors to calculate the LCM of 46626 and 46632.

LCM(46626,46632) = 2³ × 3¹ × 19¹ × 409¹ × 29¹ × 67¹
LCM(46626,46632) = 362377272