What is the Least Common Multiple of 71342 and 71357?

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 71342 and 71357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71342 and 71357, than apply into the LCM equation.

GCF(71342,71357) = 1
LCM(71342,71357) = ( 71342 × 71357) / 1
LCM(71342,71357) = 5090751094 / 1
LCM(71342,71357) = 5090751094

Least Common Multiple (LCM) of 71342 and 71357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71342 and 71357. First we will calculate the prime factors of 71342 and 71357.

Prime Factorization of 71342

Prime Factorization of 71357

Now multiplying the highest exponent prime factors to calculate the LCM of 71342 and 71357.

LCM(71342,71357) = 2¹ × 35671¹ × 11¹ × 13¹ × 499¹
LCM(71342,71357) = 5090751094