What is the Least Common Multiple of 10864 and 10880?

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 10864 and 10880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10864 and 10880, than apply into the LCM equation.

GCF(10864,10880) = 16
LCM(10864,10880) = ( 10864 × 10880) / 16
LCM(10864,10880) = 118200320 / 16
LCM(10864,10880) = 7387520

Least Common Multiple (LCM) of 10864 and 10880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10864 and 10880. First we will calculate the prime factors of 10864 and 10880.

Prime Factorization of 10864

Prime Factorization of 10880

Now multiplying the highest exponent prime factors to calculate the LCM of 10864 and 10880.

LCM(10864,10880) = 2⁷ × 7¹ × 97¹ × 5¹ × 17¹
LCM(10864,10880) = 7387520