What is the Least Common Multiple of 78668 and 78680?

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 78668 and 78680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78668 and 78680, than apply into the LCM equation.

GCF(78668,78680) = 4
LCM(78668,78680) = ( 78668 × 78680) / 4
LCM(78668,78680) = 6189598240 / 4
LCM(78668,78680) = 1547399560

Least Common Multiple (LCM) of 78668 and 78680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78668 and 78680. First we will calculate the prime factors of 78668 and 78680.

Prime Factorization of 78668

Prime Factorization of 78680

Now multiplying the highest exponent prime factors to calculate the LCM of 78668 and 78680.

LCM(78668,78680) = 2³ × 71¹ × 277¹ × 5¹ × 7¹ × 281¹
LCM(78668,78680) = 1547399560