What is the Least Common Multiple of 10978 and 10994?

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 10978 and 10994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10978 and 10994, than apply into the LCM equation.

GCF(10978,10994) = 2
LCM(10978,10994) = ( 10978 × 10994) / 2
LCM(10978,10994) = 120692132 / 2
LCM(10978,10994) = 60346066

Least Common Multiple (LCM) of 10978 and 10994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10978 and 10994. First we will calculate the prime factors of 10978 and 10994.

Prime Factorization of 10978

Prime Factorization of 10994

Now multiplying the highest exponent prime factors to calculate the LCM of 10978 and 10994.

LCM(10978,10994) = 2¹ × 11¹ × 499¹ × 23¹ × 239¹
LCM(10978,10994) = 60346066