What is the Least Common Multiple of 46893 and 46905?

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 46893 and 46905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46893 and 46905, than apply into the LCM equation.

GCF(46893,46905) = 3
LCM(46893,46905) = ( 46893 × 46905) / 3
LCM(46893,46905) = 2199516165 / 3
LCM(46893,46905) = 733172055

Least Common Multiple (LCM) of 46893 and 46905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46893 and 46905. First we will calculate the prime factors of 46893 and 46905.

Prime Factorization of 46893

Prime Factorization of 46905

Now multiplying the highest exponent prime factors to calculate the LCM of 46893 and 46905.

LCM(46893,46905) = 3¹ × 7² × 11¹ × 29¹ × 5¹ × 53¹ × 59¹
LCM(46893,46905) = 733172055