What is the Least Common Multiple of 35200 and 35210?

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 35210 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 35210, than apply into the LCM equation.

GCF(35200,35210) = 10
LCM(35200,35210) = ( 35200 × 35210) / 10
LCM(35200,35210) = 1239392000 / 10
LCM(35200,35210) = 123939200

Least Common Multiple (LCM) of 35200 and 35210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35200 and 35210. First we will calculate the prime factors of 35200 and 35210.

Prime Factorization of 35200

Prime Factorization of 35210

Now multiplying the highest exponent prime factors to calculate the LCM of 35200 and 35210.

LCM(35200,35210) = 2⁷ × 5² × 11¹ × 7¹ × 503¹
LCM(35200,35210) = 123939200