What is the Least Common Multiple of 46698 and 46716?

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 46698 and 46716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46698 and 46716, than apply into the LCM equation.

GCF(46698,46716) = 6
LCM(46698,46716) = ( 46698 × 46716) / 6
LCM(46698,46716) = 2181543768 / 6
LCM(46698,46716) = 363590628

Least Common Multiple (LCM) of 46698 and 46716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46698 and 46716. First we will calculate the prime factors of 46698 and 46716.

Prime Factorization of 46698

Prime Factorization of 46716

Now multiplying the highest exponent prime factors to calculate the LCM of 46698 and 46716.

LCM(46698,46716) = 2² × 3¹ × 43¹ × 181¹ × 17¹ × 229¹
LCM(46698,46716) = 363590628