What is the Least Common Multiple of 20961 and 20976?

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 20961 and 20976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20961 and 20976, than apply into the LCM equation.

GCF(20961,20976) = 3
LCM(20961,20976) = ( 20961 × 20976) / 3
LCM(20961,20976) = 439677936 / 3
LCM(20961,20976) = 146559312

Least Common Multiple (LCM) of 20961 and 20976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20961 and 20976. First we will calculate the prime factors of 20961 and 20976.

Prime Factorization of 20961

Prime Factorization of 20976

Now multiplying the highest exponent prime factors to calculate the LCM of 20961 and 20976.

LCM(20961,20976) = 3² × 17¹ × 137¹ × 2⁴ × 19¹ × 23¹
LCM(20961,20976) = 146559312