What is the Least Common Multiple of 46378 and 46393?

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 46378 and 46393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46378 and 46393, than apply into the LCM equation.

GCF(46378,46393) = 1
LCM(46378,46393) = ( 46378 × 46393) / 1
LCM(46378,46393) = 2151614554 / 1
LCM(46378,46393) = 2151614554

Least Common Multiple (LCM) of 46378 and 46393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46378 and 46393. First we will calculate the prime factors of 46378 and 46393.

Prime Factorization of 46378

Prime Factorization of 46393

Now multiplying the highest exponent prime factors to calculate the LCM of 46378 and 46393.

LCM(46378,46393) = 2¹ × 23189¹ × 17¹ × 2729¹
LCM(46378,46393) = 2151614554