What is the Least Common Multiple of 44035 and 44040?

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 44035 and 44040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44035 and 44040, than apply into the LCM equation.

GCF(44035,44040) = 5
LCM(44035,44040) = ( 44035 × 44040) / 5
LCM(44035,44040) = 1939301400 / 5
LCM(44035,44040) = 387860280

Least Common Multiple (LCM) of 44035 and 44040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44035 and 44040. First we will calculate the prime factors of 44035 and 44040.

Prime Factorization of 44035

Prime Factorization of 44040

Now multiplying the highest exponent prime factors to calculate the LCM of 44035 and 44040.

LCM(44035,44040) = 5¹ × 8807¹ × 2³ × 3¹ × 367¹
LCM(44035,44040) = 387860280