What is the Least Common Multiple of 46470 and 46485?

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 46470 and 46485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46470 and 46485, than apply into the LCM equation.

GCF(46470,46485) = 15
LCM(46470,46485) = ( 46470 × 46485) / 15
LCM(46470,46485) = 2160157950 / 15
LCM(46470,46485) = 144010530

Least Common Multiple (LCM) of 46470 and 46485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46470 and 46485. First we will calculate the prime factors of 46470 and 46485.

Prime Factorization of 46470

Prime Factorization of 46485

Now multiplying the highest exponent prime factors to calculate the LCM of 46470 and 46485.

LCM(46470,46485) = 2¹ × 3² × 5¹ × 1549¹ × 1033¹
LCM(46470,46485) = 144010530