What is the Least Common Multiple of 46260 and 46278?

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 46260 and 46278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46260 and 46278, than apply into the LCM equation.

GCF(46260,46278) = 18
LCM(46260,46278) = ( 46260 × 46278) / 18
LCM(46260,46278) = 2140820280 / 18
LCM(46260,46278) = 118934460

Least Common Multiple (LCM) of 46260 and 46278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46260 and 46278. First we will calculate the prime factors of 46260 and 46278.

Prime Factorization of 46260

Prime Factorization of 46278

Now multiplying the highest exponent prime factors to calculate the LCM of 46260 and 46278.

LCM(46260,46278) = 2² × 3³ × 5¹ × 257¹ × 857¹
LCM(46260,46278) = 118934460