What is the Least Common Multiple of 44144 and 44153?

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 44153 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 44153, than apply into the LCM equation.

GCF(44144,44153) = 1
LCM(44144,44153) = ( 44144 × 44153) / 1
LCM(44144,44153) = 1949090032 / 1
LCM(44144,44153) = 1949090032

Least Common Multiple (LCM) of 44144 and 44153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44144 and 44153. First we will calculate the prime factors of 44144 and 44153.

Prime Factorization of 44144

Prime Factorization of 44153

Now multiplying the highest exponent prime factors to calculate the LCM of 44144 and 44153.

LCM(44144,44153) = 2⁴ × 31¹ × 89¹ × 67¹ × 659¹
LCM(44144,44153) = 1949090032