What is the Least Common Multiple of 46718 and 46734?

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 46718 and 46734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46718 and 46734, than apply into the LCM equation.

GCF(46718,46734) = 2
LCM(46718,46734) = ( 46718 × 46734) / 2
LCM(46718,46734) = 2183319012 / 2
LCM(46718,46734) = 1091659506

Least Common Multiple (LCM) of 46718 and 46734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46718 and 46734. First we will calculate the prime factors of 46718 and 46734.

Prime Factorization of 46718

Prime Factorization of 46734

Now multiplying the highest exponent prime factors to calculate the LCM of 46718 and 46734.

LCM(46718,46734) = 2¹ × 7¹ × 47¹ × 71¹ × 3¹ × 7789¹
LCM(46718,46734) = 1091659506