What is the Least Common Multiple of 46781 and 46788?

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 46781 and 46788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46781 and 46788, than apply into the LCM equation.

GCF(46781,46788) = 7
LCM(46781,46788) = ( 46781 × 46788) / 7
LCM(46781,46788) = 2188789428 / 7
LCM(46781,46788) = 312684204

Least Common Multiple (LCM) of 46781 and 46788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46781 and 46788. First we will calculate the prime factors of 46781 and 46788.

Prime Factorization of 46781

Prime Factorization of 46788

Now multiplying the highest exponent prime factors to calculate the LCM of 46781 and 46788.

LCM(46781,46788) = 7¹ × 41¹ × 163¹ × 2² × 3¹ × 557¹
LCM(46781,46788) = 312684204