What is the Least Common Multiple of 35689 and 35705?

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 35689 and 35705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35689 and 35705, than apply into the LCM equation.

GCF(35689,35705) = 1
LCM(35689,35705) = ( 35689 × 35705) / 1
LCM(35689,35705) = 1274275745 / 1
LCM(35689,35705) = 1274275745

Least Common Multiple (LCM) of 35689 and 35705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35689 and 35705. First we will calculate the prime factors of 35689 and 35705.

Prime Factorization of 35689

Prime Factorization of 35705

Now multiplying the highest exponent prime factors to calculate the LCM of 35689 and 35705.

LCM(35689,35705) = 89¹ × 401¹ × 5¹ × 37¹ × 193¹
LCM(35689,35705) = 1274275745