What is the Least Common Multiple of 46458 and 46473?

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 46458 and 46473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46458 and 46473, than apply into the LCM equation.

GCF(46458,46473) = 3
LCM(46458,46473) = ( 46458 × 46473) / 3
LCM(46458,46473) = 2159042634 / 3
LCM(46458,46473) = 719680878

Least Common Multiple (LCM) of 46458 and 46473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46458 and 46473. First we will calculate the prime factors of 46458 and 46473.

Prime Factorization of 46458

Prime Factorization of 46473

Now multiplying the highest exponent prime factors to calculate the LCM of 46458 and 46473.

LCM(46458,46473) = 2¹ × 3² × 29¹ × 89¹ × 7¹ × 2213¹
LCM(46458,46473) = 719680878