What is the Least Common Multiple of 46129 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 46129 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 46129 and 46147, than apply into the LCM equation.

GCF(46129,46147) = 1
LCM(46129,46147) = ( 46129 × 46147) / 1
LCM(46129,46147) = 2128714963 / 1
LCM(46129,46147) = 2128714963

Least Common Multiple (LCM) of 46129 and 46147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46129 and 46147. First we will calculate the prime factors of 46129 and 46147.

Prime Factorization of 46129

Prime Factorization of 46147

Now multiplying the highest exponent prime factors to calculate the LCM of 46129 and 46147.

LCM(46129,46147) = 163¹ × 283¹ × 46147¹
LCM(46129,46147) = 2128714963