What is the Least Common Multiple of 46689 and 46709?

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 46689 and 46709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46689 and 46709, than apply into the LCM equation.

GCF(46689,46709) = 1
LCM(46689,46709) = ( 46689 × 46709) / 1
LCM(46689,46709) = 2180796501 / 1
LCM(46689,46709) = 2180796501

Least Common Multiple (LCM) of 46689 and 46709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46689 and 46709. First we will calculate the prime factors of 46689 and 46709.

Prime Factorization of 46689

Prime Factorization of 46709

Now multiplying the highest exponent prime factors to calculate the LCM of 46689 and 46709.

LCM(46689,46709) = 3¹ × 79¹ × 197¹ × 13¹ × 3593¹
LCM(46689,46709) = 2180796501