What is the Least Common Multiple of 71331 and 71343?

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 71331 and 71343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71331 and 71343, than apply into the LCM equation.

GCF(71331,71343) = 3
LCM(71331,71343) = ( 71331 × 71343) / 3
LCM(71331,71343) = 5088967533 / 3
LCM(71331,71343) = 1696322511

Least Common Multiple (LCM) of 71331 and 71343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71331 and 71343. First we will calculate the prime factors of 71331 and 71343.

Prime Factorization of 71331

Prime Factorization of 71343

Now multiplying the highest exponent prime factors to calculate the LCM of 71331 and 71343.

LCM(71331,71343) = 3² × 13¹ × 31¹ × 59¹ × 7927¹
LCM(71331,71343) = 1696322511