What is the Least Common Multiple of 46600 and 46619?

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 46600 and 46619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46600 and 46619, than apply into the LCM equation.

GCF(46600,46619) = 1
LCM(46600,46619) = ( 46600 × 46619) / 1
LCM(46600,46619) = 2172445400 / 1
LCM(46600,46619) = 2172445400

Least Common Multiple (LCM) of 46600 and 46619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46600 and 46619. First we will calculate the prime factors of 46600 and 46619.

Prime Factorization of 46600

Prime Factorization of 46619

Now multiplying the highest exponent prime factors to calculate the LCM of 46600 and 46619.

LCM(46600,46619) = 2³ × 5² × 233¹ × 46619¹
LCM(46600,46619) = 2172445400