What is the Least Common Multiple of 69668 and 69682?

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 69668 and 69682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69668 and 69682, than apply into the LCM equation.

GCF(69668,69682) = 2
LCM(69668,69682) = ( 69668 × 69682) / 2
LCM(69668,69682) = 4854605576 / 2
LCM(69668,69682) = 2427302788

Least Common Multiple (LCM) of 69668 and 69682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69668 and 69682. First we will calculate the prime factors of 69668 and 69682.

Prime Factorization of 69668

Prime Factorization of 69682

Now multiplying the highest exponent prime factors to calculate the LCM of 69668 and 69682.

LCM(69668,69682) = 2² × 17417¹ × 34841¹
LCM(69668,69682) = 2427302788