What is the Least Common Multiple of 69700 and 69704?

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 69704 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 69704, than apply into the LCM equation.

GCF(69700,69704) = 4
LCM(69700,69704) = ( 69700 × 69704) / 4
LCM(69700,69704) = 4858368800 / 4
LCM(69700,69704) = 1214592200

Least Common Multiple (LCM) of 69700 and 69704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69700 and 69704. First we will calculate the prime factors of 69700 and 69704.

Prime Factorization of 69700

Prime Factorization of 69704

Now multiplying the highest exponent prime factors to calculate the LCM of 69700 and 69704.

LCM(69700,69704) = 2³ × 5² × 17¹ × 41¹ × 8713¹
LCM(69700,69704) = 1214592200