What is the Least Common Multiple of 79431 and 79439?

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 79431 and 79439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79431 and 79439, than apply into the LCM equation.

GCF(79431,79439) = 1
LCM(79431,79439) = ( 79431 × 79439) / 1
LCM(79431,79439) = 6309919209 / 1
LCM(79431,79439) = 6309919209

Least Common Multiple (LCM) of 79431 and 79439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79431 and 79439. First we will calculate the prime factors of 79431 and 79439.

Prime Factorization of 79431

Prime Factorization of 79439

Now multiplying the highest exponent prime factors to calculate the LCM of 79431 and 79439.

LCM(79431,79439) = 3¹ × 11¹ × 29¹ × 83¹ × 19¹ × 37¹ × 113¹
LCM(79431,79439) = 6309919209