What is the Least Common Multiple of 20984 and 20993?

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 20984 and 20993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20984 and 20993, than apply into the LCM equation.

GCF(20984,20993) = 1
LCM(20984,20993) = ( 20984 × 20993) / 1
LCM(20984,20993) = 440517112 / 1
LCM(20984,20993) = 440517112

Least Common Multiple (LCM) of 20984 and 20993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20984 and 20993. First we will calculate the prime factors of 20984 and 20993.

Prime Factorization of 20984

Prime Factorization of 20993

Now multiplying the highest exponent prime factors to calculate the LCM of 20984 and 20993.

LCM(20984,20993) = 2³ × 43¹ × 61¹ × 7¹ × 2999¹
LCM(20984,20993) = 440517112