What is the Least Common Multiple of 46830 and 46842?

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 46830 and 46842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46830 and 46842, than apply into the LCM equation.

GCF(46830,46842) = 6
LCM(46830,46842) = ( 46830 × 46842) / 6
LCM(46830,46842) = 2193610860 / 6
LCM(46830,46842) = 365601810

Least Common Multiple (LCM) of 46830 and 46842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46830 and 46842. First we will calculate the prime factors of 46830 and 46842.

Prime Factorization of 46830

Prime Factorization of 46842

Now multiplying the highest exponent prime factors to calculate the LCM of 46830 and 46842.

LCM(46830,46842) = 2¹ × 3¹ × 5¹ × 7¹ × 223¹ × 37¹ × 211¹
LCM(46830,46842) = 365601810