What is the Least Common Multiple of 35052 and 35056?

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 35052 and 35056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35052 and 35056, than apply into the LCM equation.

GCF(35052,35056) = 4
LCM(35052,35056) = ( 35052 × 35056) / 4
LCM(35052,35056) = 1228782912 / 4
LCM(35052,35056) = 307195728

Least Common Multiple (LCM) of 35052 and 35056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35052 and 35056. First we will calculate the prime factors of 35052 and 35056.

Prime Factorization of 35052

Prime Factorization of 35056

Now multiplying the highest exponent prime factors to calculate the LCM of 35052 and 35056.

LCM(35052,35056) = 2⁴ × 3¹ × 23¹ × 127¹ × 7¹ × 313¹
LCM(35052,35056) = 307195728