What is the Least Common Multiple of 78710 and 78715?

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 78710 and 78715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78710 and 78715, than apply into the LCM equation.

GCF(78710,78715) = 5
LCM(78710,78715) = ( 78710 × 78715) / 5
LCM(78710,78715) = 6195657650 / 5
LCM(78710,78715) = 1239131530

Least Common Multiple (LCM) of 78710 and 78715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78710 and 78715. First we will calculate the prime factors of 78710 and 78715.

Prime Factorization of 78710

Prime Factorization of 78715

Now multiplying the highest exponent prime factors to calculate the LCM of 78710 and 78715.

LCM(78710,78715) = 2¹ × 5¹ × 17¹ × 463¹ × 7¹ × 13¹ × 173¹
LCM(78710,78715) = 1239131530