What is the Least Common Multiple of 46931 and 46939?

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 46931 and 46939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46931 and 46939, than apply into the LCM equation.

GCF(46931,46939) = 1
LCM(46931,46939) = ( 46931 × 46939) / 1
LCM(46931,46939) = 2202894209 / 1
LCM(46931,46939) = 2202894209

Least Common Multiple (LCM) of 46931 and 46939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46931 and 46939. First we will calculate the prime factors of 46931 and 46939.

Prime Factorization of 46931

Prime Factorization of 46939

Now multiplying the highest exponent prime factors to calculate the LCM of 46931 and 46939.

LCM(46931,46939) = 71¹ × 661¹ × 73¹ × 643¹
LCM(46931,46939) = 2202894209