What is the Least Common Multiple of 46219 and 46237?

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 46219 and 46237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46219 and 46237, than apply into the LCM equation.

GCF(46219,46237) = 1
LCM(46219,46237) = ( 46219 × 46237) / 1
LCM(46219,46237) = 2137027903 / 1
LCM(46219,46237) = 2137027903

Least Common Multiple (LCM) of 46219 and 46237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46219 and 46237. First we will calculate the prime factors of 46219 and 46237.

Prime Factorization of 46219

Prime Factorization of 46237

Now multiplying the highest exponent prime factors to calculate the LCM of 46219 and 46237.

LCM(46219,46237) = 46219¹ × 46237¹
LCM(46219,46237) = 2137027903