What is the Least Common Multiple of 78669 and 78687?

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 78669 and 78687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78669 and 78687, than apply into the LCM equation.

GCF(78669,78687) = 9
LCM(78669,78687) = ( 78669 × 78687) / 9
LCM(78669,78687) = 6190227603 / 9
LCM(78669,78687) = 687803067

Least Common Multiple (LCM) of 78669 and 78687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78669 and 78687. First we will calculate the prime factors of 78669 and 78687.

Prime Factorization of 78669

Prime Factorization of 78687

Now multiplying the highest exponent prime factors to calculate the LCM of 78669 and 78687.

LCM(78669,78687) = 3² × 8741¹ × 7¹ × 1249¹
LCM(78669,78687) = 687803067