GCF and LCM Calculator Logo

What is the Least Common Multiple of 36035 and 36044?

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 (LCM) of 36035 and 36044 is 1298845540.

LCM(36035,36044) = 1298845540

LCM Calculator and
and

Least Common Multiple of 36035 and 36044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36035 and 36044, than apply into the LCM equation.

GCF(36035,36044) = 1
LCM(36035,36044) = ( 36035 × 36044) / 1
LCM(36035,36044) = 1298845540 / 1
LCM(36035,36044) = 1298845540

Least Common Multiple (LCM) of 36035 and 36044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36035 and 36044. First we will calculate the prime factors of 36035 and 36044.

Prime Factorization of 36035

Prime factors of 36035 are 5, 7207. Prime factorization of 36035 in exponential form is:

36035 = 51 × 72071

Prime Factorization of 36044

Prime factors of 36044 are 2, 9011. Prime factorization of 36044 in exponential form is:

36044 = 22 × 90111

Now multiplying the highest exponent prime factors to calculate the LCM of 36035 and 36044.

LCM(36035,36044) = 51 × 72071 × 22 × 90111
LCM(36035,36044) = 1298845540