What is the Least Common Multiple of 35040 and 35055?

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 35040 and 35055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35040 and 35055, than apply into the LCM equation.

GCF(35040,35055) = 15
LCM(35040,35055) = ( 35040 × 35055) / 15
LCM(35040,35055) = 1228327200 / 15
LCM(35040,35055) = 81888480

Least Common Multiple (LCM) of 35040 and 35055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35040 and 35055. First we will calculate the prime factors of 35040 and 35055.

Prime Factorization of 35040

Prime Factorization of 35055

Now multiplying the highest exponent prime factors to calculate the LCM of 35040 and 35055.

LCM(35040,35055) = 2⁵ × 3² × 5¹ × 73¹ × 19¹ × 41¹
LCM(35040,35055) = 81888480