What is the Least Common Multiple of 46139 and 46147?

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 46139 and 46147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46139 and 46147, than apply into the LCM equation.

GCF(46139,46147) = 1
LCM(46139,46147) = ( 46139 × 46147) / 1
LCM(46139,46147) = 2129176433 / 1
LCM(46139,46147) = 2129176433

Least Common Multiple (LCM) of 46139 and 46147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46139 and 46147. First we will calculate the prime factors of 46139 and 46147.

Prime Factorization of 46139

Prime Factorization of 46147

Now multiplying the highest exponent prime factors to calculate the LCM of 46139 and 46147.

LCM(46139,46147) = 29¹ × 37¹ × 43¹ × 46147¹
LCM(46139,46147) = 2129176433