What is the Least Common Multiple of 33985 and 34001?

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 33985 and 34001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33985 and 34001, than apply into the LCM equation.

GCF(33985,34001) = 1
LCM(33985,34001) = ( 33985 × 34001) / 1
LCM(33985,34001) = 1155523985 / 1
LCM(33985,34001) = 1155523985

Least Common Multiple (LCM) of 33985 and 34001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33985 and 34001. First we will calculate the prime factors of 33985 and 34001.

Prime Factorization of 33985

Prime Factorization of 34001

Now multiplying the highest exponent prime factors to calculate the LCM of 33985 and 34001.

LCM(33985,34001) = 5¹ × 7¹ × 971¹ × 11² × 281¹
LCM(33985,34001) = 1155523985