What is the Least Common Multiple of 10978 and 10992?

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 10992 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 10992, than apply into the LCM equation.

GCF(10978,10992) = 2
LCM(10978,10992) = ( 10978 × 10992) / 2
LCM(10978,10992) = 120670176 / 2
LCM(10978,10992) = 60335088

Least Common Multiple (LCM) of 10978 and 10992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10978 and 10992. First we will calculate the prime factors of 10978 and 10992.

Prime Factorization of 10978

Prime Factorization of 10992

Now multiplying the highest exponent prime factors to calculate the LCM of 10978 and 10992.

LCM(10978,10992) = 2⁴ × 11¹ × 499¹ × 3¹ × 229¹
LCM(10978,10992) = 60335088