What is the Least Common Multiple of 35800 and 35818?

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 35800 and 35818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35800 and 35818, than apply into the LCM equation.

GCF(35800,35818) = 2
LCM(35800,35818) = ( 35800 × 35818) / 2
LCM(35800,35818) = 1282284400 / 2
LCM(35800,35818) = 641142200

Least Common Multiple (LCM) of 35800 and 35818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35800 and 35818. First we will calculate the prime factors of 35800 and 35818.

Prime Factorization of 35800

Prime Factorization of 35818

Now multiplying the highest exponent prime factors to calculate the LCM of 35800 and 35818.

LCM(35800,35818) = 2³ × 5² × 179¹ × 17909¹
LCM(35800,35818) = 641142200