What is the Least Common Multiple of 20976 and 20996?

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 20976 and 20996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20976 and 20996, than apply into the LCM equation.

GCF(20976,20996) = 4
LCM(20976,20996) = ( 20976 × 20996) / 4
LCM(20976,20996) = 440412096 / 4
LCM(20976,20996) = 110103024

Least Common Multiple (LCM) of 20976 and 20996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20976 and 20996. First we will calculate the prime factors of 20976 and 20996.

Prime Factorization of 20976

Prime Factorization of 20996

Now multiplying the highest exponent prime factors to calculate the LCM of 20976 and 20996.

LCM(20976,20996) = 2⁴ × 3¹ × 19¹ × 23¹ × 29¹ × 181¹
LCM(20976,20996) = 110103024