What is the Least Common Multiple of 69700 and 69719?

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 69700 and 69719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69700 and 69719, than apply into the LCM equation.

GCF(69700,69719) = 1
LCM(69700,69719) = ( 69700 × 69719) / 1
LCM(69700,69719) = 4859414300 / 1
LCM(69700,69719) = 4859414300

Least Common Multiple (LCM) of 69700 and 69719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69700 and 69719. First we will calculate the prime factors of 69700 and 69719.

Prime Factorization of 69700

Prime Factorization of 69719

Now multiplying the highest exponent prime factors to calculate the LCM of 69700 and 69719.

LCM(69700,69719) = 2² × 5² × 17¹ × 41¹ × 13¹ × 31¹ × 173¹
LCM(69700,69719) = 4859414300