What is the Least Common Multiple of 75038 and 75047?

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 75038 and 75047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75038 and 75047, than apply into the LCM equation.

GCF(75038,75047) = 1
LCM(75038,75047) = ( 75038 × 75047) / 1
LCM(75038,75047) = 5631376786 / 1
LCM(75038,75047) = 5631376786

Least Common Multiple (LCM) of 75038 and 75047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75038 and 75047. First we will calculate the prime factors of 75038 and 75047.

Prime Factorization of 75038

Prime Factorization of 75047

Now multiplying the highest exponent prime factors to calculate the LCM of 75038 and 75047.

LCM(75038,75047) = 2¹ × 17¹ × 2207¹ × 7¹ × 71¹ × 151¹
LCM(75038,75047) = 5631376786