What is the Least Common Multiple of 46578 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 46578 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 46578 and 46587, than apply into the LCM equation.

GCF(46578,46587) = 3
LCM(46578,46587) = ( 46578 × 46587) / 3
LCM(46578,46587) = 2169929286 / 3
LCM(46578,46587) = 723309762

Least Common Multiple (LCM) of 46578 and 46587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46578 and 46587. First we will calculate the prime factors of 46578 and 46587.

Prime Factorization of 46578

Prime Factorization of 46587

Now multiplying the highest exponent prime factors to calculate the LCM of 46578 and 46587.

LCM(46578,46587) = 2¹ × 3¹ × 7¹ × 1109¹ × 53¹ × 293¹
LCM(46578,46587) = 723309762