What is the Least Common Multiple of 35056 and 35075?

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 35056 and 35075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35056 and 35075, than apply into the LCM equation.

GCF(35056,35075) = 1
LCM(35056,35075) = ( 35056 × 35075) / 1
LCM(35056,35075) = 1229589200 / 1
LCM(35056,35075) = 1229589200

Least Common Multiple (LCM) of 35056 and 35075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35056 and 35075. First we will calculate the prime factors of 35056 and 35075.

Prime Factorization of 35056

Prime Factorization of 35075

Now multiplying the highest exponent prime factors to calculate the LCM of 35056 and 35075.

LCM(35056,35075) = 2⁴ × 7¹ × 313¹ × 5² × 23¹ × 61¹
LCM(35056,35075) = 1229589200