What is the Least Common Multiple of 71431 and 71443?

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 71431 and 71443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71431 and 71443, than apply into the LCM equation.

GCF(71431,71443) = 1
LCM(71431,71443) = ( 71431 × 71443) / 1
LCM(71431,71443) = 5103244933 / 1
LCM(71431,71443) = 5103244933

Least Common Multiple (LCM) of 71431 and 71443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71431 and 71443. First we will calculate the prime factors of 71431 and 71443.

Prime Factorization of 71431

Prime Factorization of 71443

Now multiplying the highest exponent prime factors to calculate the LCM of 71431 and 71443.

LCM(71431,71443) = 61¹ × 1171¹ × 71443¹
LCM(71431,71443) = 5103244933