What is the Least Common Multiple of 36054 and 36064?

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 36054 and 36064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36054 and 36064, than apply into the LCM equation.

GCF(36054,36064) = 2
LCM(36054,36064) = ( 36054 × 36064) / 2
LCM(36054,36064) = 1300251456 / 2
LCM(36054,36064) = 650125728

Least Common Multiple (LCM) of 36054 and 36064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36054 and 36064. First we will calculate the prime factors of 36054 and 36064.

Prime Factorization of 36054

Prime Factorization of 36064

Now multiplying the highest exponent prime factors to calculate the LCM of 36054 and 36064.

LCM(36054,36064) = 2⁵ × 3² × 2003¹ × 7² × 23¹
LCM(36054,36064) = 650125728