What is the Least Common Multiple of 10960 and 10978?

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 10978 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 10978, than apply into the LCM equation.

GCF(10960,10978) = 2
LCM(10960,10978) = ( 10960 × 10978) / 2
LCM(10960,10978) = 120318880 / 2
LCM(10960,10978) = 60159440

Least Common Multiple (LCM) of 10960 and 10978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10960 and 10978. First we will calculate the prime factors of 10960 and 10978.

Prime Factorization of 10960

Prime Factorization of 10978

Now multiplying the highest exponent prime factors to calculate the LCM of 10960 and 10978.

LCM(10960,10978) = 2⁴ × 5¹ × 137¹ × 11¹ × 499¹
LCM(10960,10978) = 60159440