What is the Least Common Multiple of 71320 and 71338?

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 71320 and 71338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71320 and 71338, than apply into the LCM equation.

GCF(71320,71338) = 2
LCM(71320,71338) = ( 71320 × 71338) / 2
LCM(71320,71338) = 5087826160 / 2
LCM(71320,71338) = 2543913080

Least Common Multiple (LCM) of 71320 and 71338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71320 and 71338. First we will calculate the prime factors of 71320 and 71338.

Prime Factorization of 71320

Prime Factorization of 71338

Now multiplying the highest exponent prime factors to calculate the LCM of 71320 and 71338.

LCM(71320,71338) = 2³ × 5¹ × 1783¹ × 53¹ × 673¹
LCM(71320,71338) = 2543913080