What is the Least Common Multiple of 46123 and 46134?

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 46123 and 46134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46123 and 46134, than apply into the LCM equation.

GCF(46123,46134) = 11
LCM(46123,46134) = ( 46123 × 46134) / 11
LCM(46123,46134) = 2127838482 / 11
LCM(46123,46134) = 193439862

Least Common Multiple (LCM) of 46123 and 46134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46123 and 46134. First we will calculate the prime factors of 46123 and 46134.

Prime Factorization of 46123

Prime Factorization of 46134

Now multiplying the highest exponent prime factors to calculate the LCM of 46123 and 46134.

LCM(46123,46134) = 7¹ × 11¹ × 599¹ × 2¹ × 3² × 233¹
LCM(46123,46134) = 193439862