What is the Least Common Multiple of 46798 and 46816?

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 46798 and 46816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46798 and 46816, than apply into the LCM equation.

GCF(46798,46816) = 2
LCM(46798,46816) = ( 46798 × 46816) / 2
LCM(46798,46816) = 2190895168 / 2
LCM(46798,46816) = 1095447584

Least Common Multiple (LCM) of 46798 and 46816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46798 and 46816. First we will calculate the prime factors of 46798 and 46816.

Prime Factorization of 46798

Prime Factorization of 46816

Now multiplying the highest exponent prime factors to calculate the LCM of 46798 and 46816.

LCM(46798,46816) = 2⁵ × 23399¹ × 7¹ × 11¹ × 19¹
LCM(46798,46816) = 1095447584