What is the Least Common Multiple of 46938 and 46957?

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 46957 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 46957, than apply into the LCM equation.

GCF(46938,46957) = 1
LCM(46938,46957) = ( 46938 × 46957) / 1
LCM(46938,46957) = 2204067666 / 1
LCM(46938,46957) = 2204067666

Least Common Multiple (LCM) of 46938 and 46957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46938 and 46957. First we will calculate the prime factors of 46938 and 46957.

Prime Factorization of 46938

Prime Factorization of 46957

Now multiplying the highest exponent prime factors to calculate the LCM of 46938 and 46957.

LCM(46938,46957) = 2¹ × 3¹ × 7823¹ × 46957¹
LCM(46938,46957) = 2204067666