What is the Least Common Multiple of 20961 and 20979?

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 20979 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 20979, than apply into the LCM equation.

GCF(20961,20979) = 9
LCM(20961,20979) = ( 20961 × 20979) / 9
LCM(20961,20979) = 439740819 / 9
LCM(20961,20979) = 48860091

Least Common Multiple (LCM) of 20961 and 20979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20961 and 20979. First we will calculate the prime factors of 20961 and 20979.

Prime Factorization of 20961

Prime Factorization of 20979

Now multiplying the highest exponent prime factors to calculate the LCM of 20961 and 20979.

LCM(20961,20979) = 3⁴ × 17¹ × 137¹ × 7¹ × 37¹
LCM(20961,20979) = 48860091