What is the Least Common Multiple of 44040 and 44049?

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 44040 and 44049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44040 and 44049, than apply into the LCM equation.

GCF(44040,44049) = 3
LCM(44040,44049) = ( 44040 × 44049) / 3
LCM(44040,44049) = 1939917960 / 3
LCM(44040,44049) = 646639320

Least Common Multiple (LCM) of 44040 and 44049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44040 and 44049. First we will calculate the prime factors of 44040 and 44049.

Prime Factorization of 44040

Prime Factorization of 44049

Now multiplying the highest exponent prime factors to calculate the LCM of 44040 and 44049.

LCM(44040,44049) = 2³ × 3¹ × 5¹ × 367¹ × 14683¹
LCM(44040,44049) = 646639320