What is the Least Common Multiple of 46218 and 46230?

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 46218 and 46230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46218 and 46230, than apply into the LCM equation.

GCF(46218,46230) = 6
LCM(46218,46230) = ( 46218 × 46230) / 6
LCM(46218,46230) = 2136658140 / 6
LCM(46218,46230) = 356109690

Least Common Multiple (LCM) of 46218 and 46230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46218 and 46230. First we will calculate the prime factors of 46218 and 46230.

Prime Factorization of 46218

Prime Factorization of 46230

Now multiplying the highest exponent prime factors to calculate the LCM of 46218 and 46230.

LCM(46218,46230) = 2¹ × 3¹ × 7703¹ × 5¹ × 23¹ × 67¹
LCM(46218,46230) = 356109690