What is the Least Common Multiple of 46674 and 46684?

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 46674 and 46684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46674 and 46684, than apply into the LCM equation.

GCF(46674,46684) = 2
LCM(46674,46684) = ( 46674 × 46684) / 2
LCM(46674,46684) = 2178929016 / 2
LCM(46674,46684) = 1089464508

Least Common Multiple (LCM) of 46674 and 46684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46674 and 46684. First we will calculate the prime factors of 46674 and 46684.

Prime Factorization of 46674

Prime Factorization of 46684

Now multiplying the highest exponent prime factors to calculate the LCM of 46674 and 46684.

LCM(46674,46684) = 2² × 3² × 2593¹ × 11¹ × 1061¹
LCM(46674,46684) = 1089464508