What is the Least Common Multiple of 46684 and 46702?

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 46684 and 46702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46684 and 46702, than apply into the LCM equation.

GCF(46684,46702) = 2
LCM(46684,46702) = ( 46684 × 46702) / 2
LCM(46684,46702) = 2180236168 / 2
LCM(46684,46702) = 1090118084

Least Common Multiple (LCM) of 46684 and 46702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46684 and 46702. First we will calculate the prime factors of 46684 and 46702.

Prime Factorization of 46684

Prime Factorization of 46702

Now multiplying the highest exponent prime factors to calculate the LCM of 46684 and 46702.

LCM(46684,46702) = 2² × 11¹ × 1061¹ × 19¹ × 1229¹
LCM(46684,46702) = 1090118084