What is the Least Common Multiple of 46815 and 46824?

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 46815 and 46824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46815 and 46824, than apply into the LCM equation.

GCF(46815,46824) = 3
LCM(46815,46824) = ( 46815 × 46824) / 3
LCM(46815,46824) = 2192065560 / 3
LCM(46815,46824) = 730688520

Least Common Multiple (LCM) of 46815 and 46824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46815 and 46824. First we will calculate the prime factors of 46815 and 46824.

Prime Factorization of 46815

Prime Factorization of 46824

Now multiplying the highest exponent prime factors to calculate the LCM of 46815 and 46824.

LCM(46815,46824) = 3¹ × 5¹ × 3121¹ × 2³ × 1951¹
LCM(46815,46824) = 730688520