What is the Least Common Multiple of 36038 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 of 36038 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 36038 and 36044, than apply into the LCM equation.

GCF(36038,36044) = 2
LCM(36038,36044) = ( 36038 × 36044) / 2
LCM(36038,36044) = 1298953672 / 2
LCM(36038,36044) = 649476836

Least Common Multiple (LCM) of 36038 and 36044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36038 and 36044. First we will calculate the prime factors of 36038 and 36044.

Prime Factorization of 36038

Prime Factorization of 36044

Now multiplying the highest exponent prime factors to calculate the LCM of 36038 and 36044.

LCM(36038,36044) = 2² × 37¹ × 487¹ × 9011¹
LCM(36038,36044) = 649476836