What is the Least Common Multiple of 91275 and 91280?

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 91275 and 91280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91275 and 91280, than apply into the LCM equation.

GCF(91275,91280) = 5
LCM(91275,91280) = ( 91275 × 91280) / 5
LCM(91275,91280) = 8331582000 / 5
LCM(91275,91280) = 1666316400

Least Common Multiple (LCM) of 91275 and 91280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91275 and 91280. First we will calculate the prime factors of 91275 and 91280.

Prime Factorization of 91275

Prime Factorization of 91280

Now multiplying the highest exponent prime factors to calculate the LCM of 91275 and 91280.

LCM(91275,91280) = 3¹ × 5² × 1217¹ × 2⁴ × 7¹ × 163¹
LCM(91275,91280) = 1666316400