What is the Least Common Multiple of 46580 and 46600?

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 46580 and 46600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46580 and 46600, than apply into the LCM equation.

GCF(46580,46600) = 20
LCM(46580,46600) = ( 46580 × 46600) / 20
LCM(46580,46600) = 2170628000 / 20
LCM(46580,46600) = 108531400

Least Common Multiple (LCM) of 46580 and 46600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46580 and 46600. First we will calculate the prime factors of 46580 and 46600.

Prime Factorization of 46580

Prime Factorization of 46600

Now multiplying the highest exponent prime factors to calculate the LCM of 46580 and 46600.

LCM(46580,46600) = 2³ × 5² × 17¹ × 137¹ × 233¹
LCM(46580,46600) = 108531400