What is the Least Common Multiple of 42944 and 42961?

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 42944 and 42961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42944 and 42961, than apply into the LCM equation.

GCF(42944,42961) = 1
LCM(42944,42961) = ( 42944 × 42961) / 1
LCM(42944,42961) = 1844917184 / 1
LCM(42944,42961) = 1844917184

Least Common Multiple (LCM) of 42944 and 42961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42944 and 42961. First we will calculate the prime factors of 42944 and 42961.

Prime Factorization of 42944

Prime Factorization of 42961

Now multiplying the highest exponent prime factors to calculate the LCM of 42944 and 42961.

LCM(42944,42961) = 2⁶ × 11¹ × 61¹ × 42961¹
LCM(42944,42961) = 1844917184