What is the Least Common Multiple of 46107 and 46127?

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 46107 and 46127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46107 and 46127, than apply into the LCM equation.

GCF(46107,46127) = 1
LCM(46107,46127) = ( 46107 × 46127) / 1
LCM(46107,46127) = 2126777589 / 1
LCM(46107,46127) = 2126777589

Least Common Multiple (LCM) of 46107 and 46127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46107 and 46127. First we will calculate the prime factors of 46107 and 46127.

Prime Factorization of 46107

Prime Factorization of 46127

Now multiplying the highest exponent prime factors to calculate the LCM of 46107 and 46127.

LCM(46107,46127) = 3² × 47¹ × 109¹ × 193¹ × 239¹
LCM(46107,46127) = 2126777589