What is the Least Common Multiple of 35397 and 35415?

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 35397 and 35415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35397 and 35415, than apply into the LCM equation.

GCF(35397,35415) = 9
LCM(35397,35415) = ( 35397 × 35415) / 9
LCM(35397,35415) = 1253584755 / 9
LCM(35397,35415) = 139287195

Least Common Multiple (LCM) of 35397 and 35415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35397 and 35415. First we will calculate the prime factors of 35397 and 35415.

Prime Factorization of 35397

Prime Factorization of 35415

Now multiplying the highest exponent prime factors to calculate the LCM of 35397 and 35415.

LCM(35397,35415) = 3⁴ × 19¹ × 23¹ × 5¹ × 787¹
LCM(35397,35415) = 139287195