What is the Least Common Multiple of 21944 and 21961?

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 21944 and 21961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21944 and 21961, than apply into the LCM equation.

GCF(21944,21961) = 1
LCM(21944,21961) = ( 21944 × 21961) / 1
LCM(21944,21961) = 481912184 / 1
LCM(21944,21961) = 481912184

Least Common Multiple (LCM) of 21944 and 21961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21944 and 21961. First we will calculate the prime factors of 21944 and 21961.

Prime Factorization of 21944

Prime Factorization of 21961

Now multiplying the highest exponent prime factors to calculate the LCM of 21944 and 21961.

LCM(21944,21961) = 2³ × 13¹ × 211¹ × 21961¹
LCM(21944,21961) = 481912184