What is the Least Common Multiple of 7080 and 7084?

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 7080 and 7084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7080 and 7084, than apply into the LCM equation.

GCF(7080,7084) = 4
LCM(7080,7084) = ( 7080 × 7084) / 4
LCM(7080,7084) = 50154720 / 4
LCM(7080,7084) = 12538680

Least Common Multiple (LCM) of 7080 and 7084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7080 and 7084. First we will calculate the prime factors of 7080 and 7084.

Prime Factorization of 7080

Prime Factorization of 7084

Now multiplying the highest exponent prime factors to calculate the LCM of 7080 and 7084.

LCM(7080,7084) = 2³ × 3¹ × 5¹ × 59¹ × 7¹ × 11¹ × 23¹
LCM(7080,7084) = 12538680