What is the Least Common Multiple of 67056 and 67075?

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 67056 and 67075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67056 and 67075, than apply into the LCM equation.

GCF(67056,67075) = 1
LCM(67056,67075) = ( 67056 × 67075) / 1
LCM(67056,67075) = 4497781200 / 1
LCM(67056,67075) = 4497781200

Least Common Multiple (LCM) of 67056 and 67075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67056 and 67075. First we will calculate the prime factors of 67056 and 67075.

Prime Factorization of 67056

Prime Factorization of 67075

Now multiplying the highest exponent prime factors to calculate the LCM of 67056 and 67075.

LCM(67056,67075) = 2⁴ × 3¹ × 11¹ × 127¹ × 5² × 2683¹
LCM(67056,67075) = 4497781200