What is the Least Common Multiple of 70200 and 70209?

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 70200 and 70209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70200 and 70209, than apply into the LCM equation.

GCF(70200,70209) = 9
LCM(70200,70209) = ( 70200 × 70209) / 9
LCM(70200,70209) = 4928671800 / 9
LCM(70200,70209) = 547630200

Least Common Multiple (LCM) of 70200 and 70209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70200 and 70209. First we will calculate the prime factors of 70200 and 70209.

Prime Factorization of 70200

Prime Factorization of 70209

Now multiplying the highest exponent prime factors to calculate the LCM of 70200 and 70209.

LCM(70200,70209) = 2³ × 3³ × 5² × 13¹ × 29¹ × 269¹
LCM(70200,70209) = 547630200