What is the Least Common Multiple of 35200 and 35212?

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 35200 and 35212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35200 and 35212, than apply into the LCM equation.

GCF(35200,35212) = 4
LCM(35200,35212) = ( 35200 × 35212) / 4
LCM(35200,35212) = 1239462400 / 4
LCM(35200,35212) = 309865600

Least Common Multiple (LCM) of 35200 and 35212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35200 and 35212. First we will calculate the prime factors of 35200 and 35212.

Prime Factorization of 35200

Prime Factorization of 35212

Now multiplying the highest exponent prime factors to calculate the LCM of 35200 and 35212.

LCM(35200,35212) = 2⁷ × 5² × 11¹ × 8803¹
LCM(35200,35212) = 309865600