What is the Least Common Multiple of 36064 and 36068?

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 36064 and 36068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36064 and 36068, than apply into the LCM equation.

GCF(36064,36068) = 4
LCM(36064,36068) = ( 36064 × 36068) / 4
LCM(36064,36068) = 1300756352 / 4
LCM(36064,36068) = 325189088

Least Common Multiple (LCM) of 36064 and 36068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36064 and 36068. First we will calculate the prime factors of 36064 and 36068.

Prime Factorization of 36064

Prime Factorization of 36068

Now multiplying the highest exponent prime factors to calculate the LCM of 36064 and 36068.

LCM(36064,36068) = 2⁵ × 7² × 23¹ × 71¹ × 127¹
LCM(36064,36068) = 325189088