What is the Least Common Multiple of 46221 and 46236?

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 46221 and 46236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46221 and 46236, than apply into the LCM equation.

GCF(46221,46236) = 3
LCM(46221,46236) = ( 46221 × 46236) / 3
LCM(46221,46236) = 2137074156 / 3
LCM(46221,46236) = 712358052

Least Common Multiple (LCM) of 46221 and 46236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46221 and 46236. First we will calculate the prime factors of 46221 and 46236.

Prime Factorization of 46221

Prime Factorization of 46236

Now multiplying the highest exponent prime factors to calculate the LCM of 46221 and 46236.

LCM(46221,46236) = 3¹ × 7¹ × 31¹ × 71¹ × 2² × 3853¹
LCM(46221,46236) = 712358052