What is the Least Common Multiple of 78358 and 78370?

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 78358 and 78370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78358 and 78370, than apply into the LCM equation.

GCF(78358,78370) = 2
LCM(78358,78370) = ( 78358 × 78370) / 2
LCM(78358,78370) = 6140916460 / 2
LCM(78358,78370) = 3070458230

Least Common Multiple (LCM) of 78358 and 78370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78358 and 78370. First we will calculate the prime factors of 78358 and 78370.

Prime Factorization of 78358

Prime Factorization of 78370

Now multiplying the highest exponent prime factors to calculate the LCM of 78358 and 78370.

LCM(78358,78370) = 2¹ × 7¹ × 29¹ × 193¹ × 5¹ × 17¹ × 461¹
LCM(78358,78370) = 3070458230