What is the Least Common Multiple of 20979 and 20984?

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 20979 and 20984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20979 and 20984, than apply into the LCM equation.

GCF(20979,20984) = 1
LCM(20979,20984) = ( 20979 × 20984) / 1
LCM(20979,20984) = 440223336 / 1
LCM(20979,20984) = 440223336

Least Common Multiple (LCM) of 20979 and 20984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20979 and 20984. First we will calculate the prime factors of 20979 and 20984.

Prime Factorization of 20979

Prime Factorization of 20984

Now multiplying the highest exponent prime factors to calculate the LCM of 20979 and 20984.

LCM(20979,20984) = 3⁴ × 7¹ × 37¹ × 2³ × 43¹ × 61¹
LCM(20979,20984) = 440223336