What is the Least Common Multiple of 44020 and 44035?

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 44020 and 44035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44020 and 44035, than apply into the LCM equation.

GCF(44020,44035) = 5
LCM(44020,44035) = ( 44020 × 44035) / 5
LCM(44020,44035) = 1938420700 / 5
LCM(44020,44035) = 387684140

Least Common Multiple (LCM) of 44020 and 44035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44020 and 44035. First we will calculate the prime factors of 44020 and 44035.

Prime Factorization of 44020

Prime Factorization of 44035

Now multiplying the highest exponent prime factors to calculate the LCM of 44020 and 44035.

LCM(44020,44035) = 2² × 5¹ × 31¹ × 71¹ × 8807¹
LCM(44020,44035) = 387684140