What is the Least Common Multiple of 20978 and 20990?

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 20990 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 20990, than apply into the LCM equation.

GCF(20978,20990) = 2
LCM(20978,20990) = ( 20978 × 20990) / 2
LCM(20978,20990) = 440328220 / 2
LCM(20978,20990) = 220164110

Least Common Multiple (LCM) of 20978 and 20990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20978 and 20990. First we will calculate the prime factors of 20978 and 20990.

Prime Factorization of 20978

Prime Factorization of 20990

Now multiplying the highest exponent prime factors to calculate the LCM of 20978 and 20990.

LCM(20978,20990) = 2¹ × 17¹ × 617¹ × 5¹ × 2099¹
LCM(20978,20990) = 220164110