What is the Least Common Multiple of 69056 and 69075?

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 69056 and 69075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69056 and 69075, than apply into the LCM equation.

GCF(69056,69075) = 1
LCM(69056,69075) = ( 69056 × 69075) / 1
LCM(69056,69075) = 4770043200 / 1
LCM(69056,69075) = 4770043200

Least Common Multiple (LCM) of 69056 and 69075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69056 and 69075. First we will calculate the prime factors of 69056 and 69075.

Prime Factorization of 69056

Prime Factorization of 69075

Now multiplying the highest exponent prime factors to calculate the LCM of 69056 and 69075.

LCM(69056,69075) = 2⁶ × 13¹ × 83¹ × 3² × 5² × 307¹
LCM(69056,69075) = 4770043200