What is the Least Common Multiple of 33699 and 33703?

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 33699 and 33703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33699 and 33703, than apply into the LCM equation.

GCF(33699,33703) = 1
LCM(33699,33703) = ( 33699 × 33703) / 1
LCM(33699,33703) = 1135757397 / 1
LCM(33699,33703) = 1135757397

Least Common Multiple (LCM) of 33699 and 33703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33699 and 33703. First we will calculate the prime factors of 33699 and 33703.

Prime Factorization of 33699

Prime Factorization of 33703

Now multiplying the highest exponent prime factors to calculate the LCM of 33699 and 33703.

LCM(33699,33703) = 3¹ × 47¹ × 239¹ × 33703¹
LCM(33699,33703) = 1135757397