What is the Least Common Multiple of 46695 and 46707?

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 46695 and 46707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46695 and 46707, than apply into the LCM equation.

GCF(46695,46707) = 3
LCM(46695,46707) = ( 46695 × 46707) / 3
LCM(46695,46707) = 2180983365 / 3
LCM(46695,46707) = 726994455

Least Common Multiple (LCM) of 46695 and 46707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46695 and 46707. First we will calculate the prime factors of 46695 and 46707.

Prime Factorization of 46695

Prime Factorization of 46707

Now multiplying the highest exponent prime factors to calculate the LCM of 46695 and 46707.

LCM(46695,46707) = 3¹ × 5¹ × 11¹ × 283¹ × 15569¹
LCM(46695,46707) = 726994455