What is the Least Common Multiple of 78680 and 78700?

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 78680 and 78700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78680 and 78700, than apply into the LCM equation.

GCF(78680,78700) = 20
LCM(78680,78700) = ( 78680 × 78700) / 20
LCM(78680,78700) = 6192116000 / 20
LCM(78680,78700) = 309605800

Least Common Multiple (LCM) of 78680 and 78700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78680 and 78700. First we will calculate the prime factors of 78680 and 78700.

Prime Factorization of 78680

Prime Factorization of 78700

Now multiplying the highest exponent prime factors to calculate the LCM of 78680 and 78700.

LCM(78680,78700) = 2³ × 5² × 7¹ × 281¹ × 787¹
LCM(78680,78700) = 309605800