What is the Least Common Multiple of 44144 and 44161?

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 44144 and 44161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44144 and 44161, than apply into the LCM equation.

GCF(44144,44161) = 1
LCM(44144,44161) = ( 44144 × 44161) / 1
LCM(44144,44161) = 1949443184 / 1
LCM(44144,44161) = 1949443184

Least Common Multiple (LCM) of 44144 and 44161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44144 and 44161. First we will calculate the prime factors of 44144 and 44161.

Prime Factorization of 44144

Prime Factorization of 44161

Now multiplying the highest exponent prime factors to calculate the LCM of 44144 and 44161.

LCM(44144,44161) = 2⁴ × 31¹ × 89¹ × 13¹ × 43¹ × 79¹
LCM(44144,44161) = 1949443184