What is the Least Common Multiple of 35682 and 35701?

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 35682 and 35701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35682 and 35701, than apply into the LCM equation.

GCF(35682,35701) = 19
LCM(35682,35701) = ( 35682 × 35701) / 19
LCM(35682,35701) = 1273883082 / 19
LCM(35682,35701) = 67046478

Least Common Multiple (LCM) of 35682 and 35701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35682 and 35701. First we will calculate the prime factors of 35682 and 35701.

Prime Factorization of 35682

Prime Factorization of 35701

Now multiplying the highest exponent prime factors to calculate the LCM of 35682 and 35701.

LCM(35682,35701) = 2¹ × 3¹ × 19¹ × 313¹ × 1879¹
LCM(35682,35701) = 67046478