What is the Least Common Multiple of 46734 and 46742?

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 46734 and 46742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46734 and 46742, than apply into the LCM equation.

GCF(46734,46742) = 2
LCM(46734,46742) = ( 46734 × 46742) / 2
LCM(46734,46742) = 2184440628 / 2
LCM(46734,46742) = 1092220314

Least Common Multiple (LCM) of 46734 and 46742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46734 and 46742. First we will calculate the prime factors of 46734 and 46742.

Prime Factorization of 46734

Prime Factorization of 46742

Now multiplying the highest exponent prime factors to calculate the LCM of 46734 and 46742.

LCM(46734,46742) = 2¹ × 3¹ × 7789¹ × 23371¹
LCM(46734,46742) = 1092220314