What is the Least Common Multiple of 78080 and 78084?

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 78080 and 78084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78080 and 78084, than apply into the LCM equation.

GCF(78080,78084) = 4
LCM(78080,78084) = ( 78080 × 78084) / 4
LCM(78080,78084) = 6096798720 / 4
LCM(78080,78084) = 1524199680

Least Common Multiple (LCM) of 78080 and 78084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78080 and 78084. First we will calculate the prime factors of 78080 and 78084.

Prime Factorization of 78080

Prime Factorization of 78084

Now multiplying the highest exponent prime factors to calculate the LCM of 78080 and 78084.

LCM(78080,78084) = 2⁸ × 5¹ × 61¹ × 3⁴ × 241¹
LCM(78080,78084) = 1524199680