What is the Least Common Multiple of 78505 and 78520?

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 78505 and 78520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78505 and 78520, than apply into the LCM equation.

GCF(78505,78520) = 5
LCM(78505,78520) = ( 78505 × 78520) / 5
LCM(78505,78520) = 6164212600 / 5
LCM(78505,78520) = 1232842520

Least Common Multiple (LCM) of 78505 and 78520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78505 and 78520. First we will calculate the prime factors of 78505 and 78520.

Prime Factorization of 78505

Prime Factorization of 78520

Now multiplying the highest exponent prime factors to calculate the LCM of 78505 and 78520.

LCM(78505,78520) = 5¹ × 7¹ × 2243¹ × 2³ × 13¹ × 151¹
LCM(78505,78520) = 1232842520