What is the Least Common Multiple of 35357 and 35371?

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 35357 and 35371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35357 and 35371, than apply into the LCM equation.

GCF(35357,35371) = 7
LCM(35357,35371) = ( 35357 × 35371) / 7
LCM(35357,35371) = 1250612447 / 7
LCM(35357,35371) = 178658921

Least Common Multiple (LCM) of 35357 and 35371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35357 and 35371. First we will calculate the prime factors of 35357 and 35371.

Prime Factorization of 35357

Prime Factorization of 35371

Now multiplying the highest exponent prime factors to calculate the LCM of 35357 and 35371.

LCM(35357,35371) = 7¹ × 5051¹ × 31¹ × 163¹
LCM(35357,35371) = 178658921