What is the Least Common Multiple of 48944 and 48961?

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 48944 and 48961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48944 and 48961, than apply into the LCM equation.

GCF(48944,48961) = 1
LCM(48944,48961) = ( 48944 × 48961) / 1
LCM(48944,48961) = 2396347184 / 1
LCM(48944,48961) = 2396347184

Least Common Multiple (LCM) of 48944 and 48961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48944 and 48961. First we will calculate the prime factors of 48944 and 48961.

Prime Factorization of 48944

Prime Factorization of 48961

Now multiplying the highest exponent prime factors to calculate the LCM of 48944 and 48961.

LCM(48944,48961) = 2⁴ × 7¹ × 19¹ × 23¹ × 11¹ × 4451¹
LCM(48944,48961) = 2396347184