What is the Least Common Multiple of 78320 and 78340?

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 78320 and 78340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78320 and 78340, than apply into the LCM equation.

GCF(78320,78340) = 20
LCM(78320,78340) = ( 78320 × 78340) / 20
LCM(78320,78340) = 6135588800 / 20
LCM(78320,78340) = 306779440

Least Common Multiple (LCM) of 78320 and 78340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78320 and 78340. First we will calculate the prime factors of 78320 and 78340.

Prime Factorization of 78320

Prime Factorization of 78340

Now multiplying the highest exponent prime factors to calculate the LCM of 78320 and 78340.

LCM(78320,78340) = 2⁴ × 5¹ × 11¹ × 89¹ × 3917¹
LCM(78320,78340) = 306779440