What is the Least Common Multiple of 39689 and 39703?

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 39689 and 39703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39689 and 39703, than apply into the LCM equation.

GCF(39689,39703) = 1
LCM(39689,39703) = ( 39689 × 39703) / 1
LCM(39689,39703) = 1575772367 / 1
LCM(39689,39703) = 1575772367

Least Common Multiple (LCM) of 39689 and 39703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39689 and 39703. First we will calculate the prime factors of 39689 and 39703.

Prime Factorization of 39689

Prime Factorization of 39703

Now multiplying the highest exponent prime factors to calculate the LCM of 39689 and 39703.

LCM(39689,39703) = 13¹ × 43¹ × 71¹ × 39703¹
LCM(39689,39703) = 1575772367