What is the Least Common Multiple of 10978 and 10987?

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 10987 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 10987, than apply into the LCM equation.

GCF(10978,10987) = 1
LCM(10978,10987) = ( 10978 × 10987) / 1
LCM(10978,10987) = 120615286 / 1
LCM(10978,10987) = 120615286

Least Common Multiple (LCM) of 10978 and 10987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10978 and 10987. First we will calculate the prime factors of 10978 and 10987.

Prime Factorization of 10978

Prime Factorization of 10987

Now multiplying the highest exponent prime factors to calculate the LCM of 10978 and 10987.

LCM(10978,10987) = 2¹ × 11¹ × 499¹ × 10987¹
LCM(10978,10987) = 120615286