What is the Least Common Multiple of 44153 and 44171?

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 44153 and 44171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44153 and 44171, than apply into the LCM equation.

GCF(44153,44171) = 1
LCM(44153,44171) = ( 44153 × 44171) / 1
LCM(44153,44171) = 1950282163 / 1
LCM(44153,44171) = 1950282163

Least Common Multiple (LCM) of 44153 and 44171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44153 and 44171. First we will calculate the prime factors of 44153 and 44171.

Prime Factorization of 44153

Prime Factorization of 44171

Now multiplying the highest exponent prime factors to calculate the LCM of 44153 and 44171.

LCM(44153,44171) = 67¹ × 659¹ × 44171¹
LCM(44153,44171) = 1950282163