What is the Least Common Multiple of 46816 and 46834?

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 46816 and 46834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46816 and 46834, than apply into the LCM equation.

GCF(46816,46834) = 2
LCM(46816,46834) = ( 46816 × 46834) / 2
LCM(46816,46834) = 2192580544 / 2
LCM(46816,46834) = 1096290272

Least Common Multiple (LCM) of 46816 and 46834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46816 and 46834. First we will calculate the prime factors of 46816 and 46834.

Prime Factorization of 46816

Prime Factorization of 46834

Now multiplying the highest exponent prime factors to calculate the LCM of 46816 and 46834.

LCM(46816,46834) = 2⁵ × 7¹ × 11¹ × 19¹ × 23417¹
LCM(46816,46834) = 1096290272