What is the Least Common Multiple of 46821 and 46836?

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 46821 and 46836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46821 and 46836, than apply into the LCM equation.

GCF(46821,46836) = 3
LCM(46821,46836) = ( 46821 × 46836) / 3
LCM(46821,46836) = 2192908356 / 3
LCM(46821,46836) = 730969452

Least Common Multiple (LCM) of 46821 and 46836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46821 and 46836. First we will calculate the prime factors of 46821 and 46836.

Prime Factorization of 46821

Prime Factorization of 46836

Now multiplying the highest exponent prime factors to calculate the LCM of 46821 and 46836.

LCM(46821,46836) = 3² × 15607¹ × 2² × 1301¹
LCM(46821,46836) = 730969452