What is the Least Common Multiple of 46470 and 46488?

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 46488 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 46488, than apply into the LCM equation.

GCF(46470,46488) = 6
LCM(46470,46488) = ( 46470 × 46488) / 6
LCM(46470,46488) = 2160297360 / 6
LCM(46470,46488) = 360049560

Least Common Multiple (LCM) of 46470 and 46488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46470 and 46488. First we will calculate the prime factors of 46470 and 46488.

Prime Factorization of 46470

Prime Factorization of 46488

Now multiplying the highest exponent prime factors to calculate the LCM of 46470 and 46488.

LCM(46470,46488) = 2³ × 3¹ × 5¹ × 1549¹ × 13¹ × 149¹
LCM(46470,46488) = 360049560