What is the Least Common Multiple of 46443 and 46451?

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 46443 and 46451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46443 and 46451, than apply into the LCM equation.

GCF(46443,46451) = 1
LCM(46443,46451) = ( 46443 × 46451) / 1
LCM(46443,46451) = 2157323793 / 1
LCM(46443,46451) = 2157323793

Least Common Multiple (LCM) of 46443 and 46451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46443 and 46451. First we will calculate the prime factors of 46443 and 46451.

Prime Factorization of 46443

Prime Factorization of 46451

Now multiplying the highest exponent prime factors to calculate the LCM of 46443 and 46451.

LCM(46443,46451) = 3¹ × 113¹ × 137¹ × 46451¹
LCM(46443,46451) = 2157323793