What is the Least Common Multiple of 35321 and 35341?

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 35321 and 35341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35321 and 35341, than apply into the LCM equation.

GCF(35321,35341) = 1
LCM(35321,35341) = ( 35321 × 35341) / 1
LCM(35321,35341) = 1248279461 / 1
LCM(35321,35341) = 1248279461

Least Common Multiple (LCM) of 35321 and 35341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35321 and 35341. First we will calculate the prime factors of 35321 and 35341.

Prime Factorization of 35321

Prime Factorization of 35341

Now multiplying the highest exponent prime factors to calculate the LCM of 35321 and 35341.

LCM(35321,35341) = 11¹ × 13² × 19¹ × 59¹ × 599¹
LCM(35321,35341) = 1248279461