What is the Least Common Multiple of 35190 and 35200?

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 35190 and 35200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35190 and 35200, than apply into the LCM equation.

GCF(35190,35200) = 10
LCM(35190,35200) = ( 35190 × 35200) / 10
LCM(35190,35200) = 1238688000 / 10
LCM(35190,35200) = 123868800

Least Common Multiple (LCM) of 35190 and 35200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35190 and 35200. First we will calculate the prime factors of 35190 and 35200.

Prime Factorization of 35190

Prime Factorization of 35200

Now multiplying the highest exponent prime factors to calculate the LCM of 35190 and 35200.

LCM(35190,35200) = 2⁷ × 3² × 5² × 17¹ × 23¹ × 11¹
LCM(35190,35200) = 123868800