What is the Least Common Multiple of 20978 and 20986?

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 20978 and 20986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20978 and 20986, than apply into the LCM equation.

GCF(20978,20986) = 2
LCM(20978,20986) = ( 20978 × 20986) / 2
LCM(20978,20986) = 440244308 / 2
LCM(20978,20986) = 220122154

Least Common Multiple (LCM) of 20978 and 20986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20978 and 20986. First we will calculate the prime factors of 20978 and 20986.

Prime Factorization of 20978

Prime Factorization of 20986

Now multiplying the highest exponent prime factors to calculate the LCM of 20978 and 20986.

LCM(20978,20986) = 2¹ × 17¹ × 617¹ × 7¹ × 1499¹
LCM(20978,20986) = 220122154