What is the Least Common Multiple of 46344 and 46351?

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 46344 and 46351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46344 and 46351, than apply into the LCM equation.

GCF(46344,46351) = 1
LCM(46344,46351) = ( 46344 × 46351) / 1
LCM(46344,46351) = 2148090744 / 1
LCM(46344,46351) = 2148090744

Least Common Multiple (LCM) of 46344 and 46351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46344 and 46351. First we will calculate the prime factors of 46344 and 46351.

Prime Factorization of 46344

Prime Factorization of 46351

Now multiplying the highest exponent prime factors to calculate the LCM of 46344 and 46351.

LCM(46344,46351) = 2³ × 3¹ × 1931¹ × 46351¹
LCM(46344,46351) = 2148090744