What is the Least Common Multiple of 46929 and 46938?

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 46929 and 46938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46929 and 46938, than apply into the LCM equation.

GCF(46929,46938) = 3
LCM(46929,46938) = ( 46929 × 46938) / 3
LCM(46929,46938) = 2202753402 / 3
LCM(46929,46938) = 734251134

Least Common Multiple (LCM) of 46929 and 46938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46929 and 46938. First we will calculate the prime factors of 46929 and 46938.

Prime Factorization of 46929

Prime Factorization of 46938

Now multiplying the highest exponent prime factors to calculate the LCM of 46929 and 46938.

LCM(46929,46938) = 3¹ × 15643¹ × 2¹ × 7823¹
LCM(46929,46938) = 734251134