What is the Least Common Multiple of 91080 and 91086?

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 91086 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 91086, than apply into the LCM equation.

GCF(91080,91086) = 6
LCM(91080,91086) = ( 91080 × 91086) / 6
LCM(91080,91086) = 8296112880 / 6
LCM(91080,91086) = 1382685480

Least Common Multiple (LCM) of 91080 and 91086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91080 and 91086. First we will calculate the prime factors of 91080 and 91086.

Prime Factorization of 91080

Prime Factorization of 91086

Now multiplying the highest exponent prime factors to calculate the LCM of 91080 and 91086.

LCM(91080,91086) = 2³ × 3² × 5¹ × 11¹ × 23¹ × 17¹ × 19¹ × 47¹
LCM(91080,91086) = 1382685480