What is the Least Common Multiple of 91080 and 91084?

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 91080 and 91084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91080 and 91084, than apply into the LCM equation.

GCF(91080,91084) = 4
LCM(91080,91084) = ( 91080 × 91084) / 4
LCM(91080,91084) = 8295930720 / 4
LCM(91080,91084) = 2073982680

Least Common Multiple (LCM) of 91080 and 91084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91080 and 91084. First we will calculate the prime factors of 91080 and 91084.

Prime Factorization of 91080

Prime Factorization of 91084

Now multiplying the highest exponent prime factors to calculate the LCM of 91080 and 91084.

LCM(91080,91084) = 2³ × 3² × 5¹ × 11¹ × 23¹ × 7¹ × 3253¹
LCM(91080,91084) = 2073982680