What is the Least Common Multiple of 35843 and 35857?

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 35843 and 35857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35843 and 35857, than apply into the LCM equation.

GCF(35843,35857) = 1
LCM(35843,35857) = ( 35843 × 35857) / 1
LCM(35843,35857) = 1285222451 / 1
LCM(35843,35857) = 1285222451

Least Common Multiple (LCM) of 35843 and 35857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35843 and 35857. First we will calculate the prime factors of 35843 and 35857.

Prime Factorization of 35843

Prime Factorization of 35857

Now multiplying the highest exponent prime factors to calculate the LCM of 35843 and 35857.

LCM(35843,35857) = 73¹ × 491¹ × 23¹ × 1559¹
LCM(35843,35857) = 1285222451