What is the Least Common Multiple of 35897 and 35903?

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 35897 and 35903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35897 and 35903, than apply into the LCM equation.

GCF(35897,35903) = 1
LCM(35897,35903) = ( 35897 × 35903) / 1
LCM(35897,35903) = 1288809991 / 1
LCM(35897,35903) = 1288809991

Least Common Multiple (LCM) of 35897 and 35903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35897 and 35903. First we will calculate the prime factors of 35897 and 35903.

Prime Factorization of 35897

Prime Factorization of 35903

Now multiplying the highest exponent prime factors to calculate the LCM of 35897 and 35903.

LCM(35897,35903) = 35897¹ × 7¹ × 23¹ × 223¹
LCM(35897,35903) = 1288809991