What is the Least Common Multiple of 35893 and 35897?

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 35893 and 35897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35893 and 35897, than apply into the LCM equation.

GCF(35893,35897) = 1
LCM(35893,35897) = ( 35893 × 35897) / 1
LCM(35893,35897) = 1288451021 / 1
LCM(35893,35897) = 1288451021

Least Common Multiple (LCM) of 35893 and 35897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35893 and 35897. First we will calculate the prime factors of 35893 and 35897.

Prime Factorization of 35893

Prime Factorization of 35897

Now multiplying the highest exponent prime factors to calculate the LCM of 35893 and 35897.

LCM(35893,35897) = 11¹ × 13¹ × 251¹ × 35897¹
LCM(35893,35897) = 1288451021