What is the Least Common Multiple of 35500 and 35514?

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 35500 and 35514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35500 and 35514, than apply into the LCM equation.

GCF(35500,35514) = 2
LCM(35500,35514) = ( 35500 × 35514) / 2
LCM(35500,35514) = 1260747000 / 2
LCM(35500,35514) = 630373500

Least Common Multiple (LCM) of 35500 and 35514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35500 and 35514. First we will calculate the prime factors of 35500 and 35514.

Prime Factorization of 35500

Prime Factorization of 35514

Now multiplying the highest exponent prime factors to calculate the LCM of 35500 and 35514.

LCM(35500,35514) = 2² × 5³ × 71¹ × 3² × 1973¹
LCM(35500,35514) = 630373500