What is the Least Common Multiple of 35500 and 35505?

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 35505 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 35505, than apply into the LCM equation.

GCF(35500,35505) = 5
LCM(35500,35505) = ( 35500 × 35505) / 5
LCM(35500,35505) = 1260427500 / 5
LCM(35500,35505) = 252085500

Least Common Multiple (LCM) of 35500 and 35505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35500 and 35505. First we will calculate the prime factors of 35500 and 35505.

Prime Factorization of 35500

Prime Factorization of 35505

Now multiplying the highest exponent prime factors to calculate the LCM of 35500 and 35505.

LCM(35500,35505) = 2² × 5³ × 71¹ × 3³ × 263¹
LCM(35500,35505) = 252085500