What is the Least Common Multiple of 71104 and 71121?

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 71104 and 71121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71104 and 71121, than apply into the LCM equation.

GCF(71104,71121) = 1
LCM(71104,71121) = ( 71104 × 71121) / 1
LCM(71104,71121) = 5056987584 / 1
LCM(71104,71121) = 5056987584

Least Common Multiple (LCM) of 71104 and 71121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71104 and 71121. First we will calculate the prime factors of 71104 and 71121.

Prime Factorization of 71104

Prime Factorization of 71121

Now multiplying the highest exponent prime factors to calculate the LCM of 71104 and 71121.

LCM(71104,71121) = 2⁶ × 11¹ × 101¹ × 3¹ × 151¹ × 157¹
LCM(71104,71121) = 5056987584