What is the Least Common Multiple of 35670 and 35682?

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 35670 and 35682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35670 and 35682, than apply into the LCM equation.

GCF(35670,35682) = 6
LCM(35670,35682) = ( 35670 × 35682) / 6
LCM(35670,35682) = 1272776940 / 6
LCM(35670,35682) = 212129490

Least Common Multiple (LCM) of 35670 and 35682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35670 and 35682. First we will calculate the prime factors of 35670 and 35682.

Prime Factorization of 35670

Prime Factorization of 35682

Now multiplying the highest exponent prime factors to calculate the LCM of 35670 and 35682.

LCM(35670,35682) = 2¹ × 3¹ × 5¹ × 29¹ × 41¹ × 19¹ × 313¹
LCM(35670,35682) = 212129490