What is the Least Common Multiple of 46207 and 46213?

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 46207 and 46213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46207 and 46213, than apply into the LCM equation.

GCF(46207,46213) = 1
LCM(46207,46213) = ( 46207 × 46213) / 1
LCM(46207,46213) = 2135364091 / 1
LCM(46207,46213) = 2135364091

Least Common Multiple (LCM) of 46207 and 46213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46207 and 46213. First we will calculate the prime factors of 46207 and 46213.

Prime Factorization of 46207

Prime Factorization of 46213

Now multiplying the highest exponent prime factors to calculate the LCM of 46207 and 46213.

LCM(46207,46213) = 7² × 23¹ × 41¹ × 37¹ × 1249¹
LCM(46207,46213) = 2135364091