What is the Least Common Multiple of 46583 and 46587?

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 46583 and 46587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46583 and 46587, than apply into the LCM equation.

GCF(46583,46587) = 1
LCM(46583,46587) = ( 46583 × 46587) / 1
LCM(46583,46587) = 2170162221 / 1
LCM(46583,46587) = 2170162221

Least Common Multiple (LCM) of 46583 and 46587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46583 and 46587. First we will calculate the prime factors of 46583 and 46587.

Prime Factorization of 46583

Prime Factorization of 46587

Now multiplying the highest exponent prime factors to calculate the LCM of 46583 and 46587.

LCM(46583,46587) = 37¹ × 1259¹ × 3¹ × 53¹ × 293¹
LCM(46583,46587) = 2170162221