What is the Least Common Multiple of 10960 and 10975?

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 10960 and 10975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10960 and 10975, than apply into the LCM equation.

GCF(10960,10975) = 5
LCM(10960,10975) = ( 10960 × 10975) / 5
LCM(10960,10975) = 120286000 / 5
LCM(10960,10975) = 24057200

Least Common Multiple (LCM) of 10960 and 10975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10960 and 10975. First we will calculate the prime factors of 10960 and 10975.

Prime Factorization of 10960

Prime Factorization of 10975

Now multiplying the highest exponent prime factors to calculate the LCM of 10960 and 10975.

LCM(10960,10975) = 2⁴ × 5² × 137¹ × 439¹
LCM(10960,10975) = 24057200