What is the Least Common Multiple of 77431 and 77439?

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 77431 and 77439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77431 and 77439, than apply into the LCM equation.

GCF(77431,77439) = 1
LCM(77431,77439) = ( 77431 × 77439) / 1
LCM(77431,77439) = 5996179209 / 1
LCM(77431,77439) = 5996179209

Least Common Multiple (LCM) of 77431 and 77439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77431 and 77439. First we will calculate the prime factors of 77431 and 77439.

Prime Factorization of 77431

Prime Factorization of 77439

Now multiplying the highest exponent prime factors to calculate the LCM of 77431 and 77439.

LCM(77431,77439) = 77431¹ × 3¹ × 83¹ × 311¹
LCM(77431,77439) = 5996179209