What is the Least Common Multiple of 69700 and 69711?

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 69711 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 69711, than apply into the LCM equation.

GCF(69700,69711) = 1
LCM(69700,69711) = ( 69700 × 69711) / 1
LCM(69700,69711) = 4858856700 / 1
LCM(69700,69711) = 4858856700

Least Common Multiple (LCM) of 69700 and 69711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69700 and 69711. First we will calculate the prime factors of 69700 and 69711.

Prime Factorization of 69700

Prime Factorization of 69711

Now multiplying the highest exponent prime factors to calculate the LCM of 69700 and 69711.

LCM(69700,69711) = 2² × 5² × 17¹ × 41¹ × 3¹ × 19¹ × 1223¹
LCM(69700,69711) = 4858856700