What is the Least Common Multiple of 46938 and 46943?

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 46938 and 46943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46938 and 46943, than apply into the LCM equation.

GCF(46938,46943) = 1
LCM(46938,46943) = ( 46938 × 46943) / 1
LCM(46938,46943) = 2203410534 / 1
LCM(46938,46943) = 2203410534

Least Common Multiple (LCM) of 46938 and 46943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46938 and 46943. First we will calculate the prime factors of 46938 and 46943.

Prime Factorization of 46938

Prime Factorization of 46943

Now multiplying the highest exponent prime factors to calculate the LCM of 46938 and 46943.

LCM(46938,46943) = 2¹ × 3¹ × 7823¹ × 13¹ × 23¹ × 157¹
LCM(46938,46943) = 2203410534