What is the Least Common Multiple of 35360 and 35369?

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 35360 and 35369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35360 and 35369, than apply into the LCM equation.

GCF(35360,35369) = 1
LCM(35360,35369) = ( 35360 × 35369) / 1
LCM(35360,35369) = 1250647840 / 1
LCM(35360,35369) = 1250647840

Least Common Multiple (LCM) of 35360 and 35369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35360 and 35369. First we will calculate the prime factors of 35360 and 35369.

Prime Factorization of 35360

Prime Factorization of 35369

Now multiplying the highest exponent prime factors to calculate the LCM of 35360 and 35369.

LCM(35360,35369) = 2⁵ × 5¹ × 13¹ × 17¹ × 113¹ × 313¹
LCM(35360,35369) = 1250647840