What is the Least Common Multiple of 69702 and 69720?

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 69702 and 69720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69702 and 69720, than apply into the LCM equation.

GCF(69702,69720) = 6
LCM(69702,69720) = ( 69702 × 69720) / 6
LCM(69702,69720) = 4859623440 / 6
LCM(69702,69720) = 809937240

Least Common Multiple (LCM) of 69702 and 69720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69702 and 69720. First we will calculate the prime factors of 69702 and 69720.

Prime Factorization of 69702

Prime Factorization of 69720

Now multiplying the highest exponent prime factors to calculate the LCM of 69702 and 69720.

LCM(69702,69720) = 2³ × 3¹ × 11617¹ × 5¹ × 7¹ × 83¹
LCM(69702,69720) = 809937240