What is the Least Common Multiple of 46919 and 46931?

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 46919 and 46931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46919 and 46931, than apply into the LCM equation.

GCF(46919,46931) = 1
LCM(46919,46931) = ( 46919 × 46931) / 1
LCM(46919,46931) = 2201955589 / 1
LCM(46919,46931) = 2201955589

Least Common Multiple (LCM) of 46919 and 46931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46919 and 46931. First we will calculate the prime factors of 46919 and 46931.

Prime Factorization of 46919

Prime Factorization of 46931

Now multiplying the highest exponent prime factors to calculate the LCM of 46919 and 46931.

LCM(46919,46931) = 46919¹ × 71¹ × 661¹
LCM(46919,46931) = 2201955589