What is the Least Common Multiple of 71669 and 71681?

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 71669 and 71681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71669 and 71681, than apply into the LCM equation.

GCF(71669,71681) = 1
LCM(71669,71681) = ( 71669 × 71681) / 1
LCM(71669,71681) = 5137305589 / 1
LCM(71669,71681) = 5137305589

Least Common Multiple (LCM) of 71669 and 71681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71669 and 71681. First we will calculate the prime factors of 71669 and 71681.

Prime Factorization of 71669

Prime Factorization of 71681

Now multiplying the highest exponent prime factors to calculate the LCM of 71669 and 71681.

LCM(71669,71681) = 13¹ × 37¹ × 149¹ × 43¹ × 1667¹
LCM(71669,71681) = 5137305589