What is the Least Common Multiple of 46208 and 46221?

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 46208 and 46221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46208 and 46221, than apply into the LCM equation.

GCF(46208,46221) = 1
LCM(46208,46221) = ( 46208 × 46221) / 1
LCM(46208,46221) = 2135779968 / 1
LCM(46208,46221) = 2135779968

Least Common Multiple (LCM) of 46208 and 46221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46208 and 46221. First we will calculate the prime factors of 46208 and 46221.

Prime Factorization of 46208

Prime Factorization of 46221

Now multiplying the highest exponent prime factors to calculate the LCM of 46208 and 46221.

LCM(46208,46221) = 2⁷ × 19² × 3¹ × 7¹ × 31¹ × 71¹
LCM(46208,46221) = 2135779968