What is the Least Common Multiple of 78699 and 78711?

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 78699 and 78711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78699 and 78711, than apply into the LCM equation.

GCF(78699,78711) = 3
LCM(78699,78711) = ( 78699 × 78711) / 3
LCM(78699,78711) = 6194476989 / 3
LCM(78699,78711) = 2064825663

Least Common Multiple (LCM) of 78699 and 78711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78699 and 78711. First we will calculate the prime factors of 78699 and 78711.

Prime Factorization of 78699

Prime Factorization of 78711

Now multiplying the highest exponent prime factors to calculate the LCM of 78699 and 78711.

LCM(78699,78711) = 3¹ × 37¹ × 709¹ × 26237¹
LCM(78699,78711) = 2064825663