What is the Least Common Multiple of 35325 and 35343?

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 35325 and 35343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35325 and 35343, than apply into the LCM equation.

GCF(35325,35343) = 9
LCM(35325,35343) = ( 35325 × 35343) / 9
LCM(35325,35343) = 1248491475 / 9
LCM(35325,35343) = 138721275

Least Common Multiple (LCM) of 35325 and 35343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35325 and 35343. First we will calculate the prime factors of 35325 and 35343.

Prime Factorization of 35325

Prime Factorization of 35343

Now multiplying the highest exponent prime factors to calculate the LCM of 35325 and 35343.

LCM(35325,35343) = 3³ × 5² × 157¹ × 7¹ × 11¹ × 17¹
LCM(35325,35343) = 138721275