What is the Least Common Multiple of 71280 and 71294?

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 71280 and 71294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71280 and 71294, than apply into the LCM equation.

GCF(71280,71294) = 2
LCM(71280,71294) = ( 71280 × 71294) / 2
LCM(71280,71294) = 5081836320 / 2
LCM(71280,71294) = 2540918160

Least Common Multiple (LCM) of 71280 and 71294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71280 and 71294. First we will calculate the prime factors of 71280 and 71294.

Prime Factorization of 71280

Prime Factorization of 71294

Now multiplying the highest exponent prime factors to calculate the LCM of 71280 and 71294.

LCM(71280,71294) = 2⁴ × 3⁴ × 5¹ × 11¹ × 43¹ × 829¹
LCM(71280,71294) = 2540918160