What is the Least Common Multiple of 69785 and 69804?

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 69785 and 69804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69785 and 69804, than apply into the LCM equation.

GCF(69785,69804) = 1
LCM(69785,69804) = ( 69785 × 69804) / 1
LCM(69785,69804) = 4871272140 / 1
LCM(69785,69804) = 4871272140

Least Common Multiple (LCM) of 69785 and 69804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69785 and 69804. First we will calculate the prime factors of 69785 and 69804.

Prime Factorization of 69785

Prime Factorization of 69804

Now multiplying the highest exponent prime factors to calculate the LCM of 69785 and 69804.

LCM(69785,69804) = 5¹ × 17¹ × 821¹ × 2² × 3² × 7¹ × 277¹
LCM(69785,69804) = 4871272140