What is the Least Common Multiple of 35850 and 35862?

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 35850 and 35862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35850 and 35862, than apply into the LCM equation.

GCF(35850,35862) = 6
LCM(35850,35862) = ( 35850 × 35862) / 6
LCM(35850,35862) = 1285652700 / 6
LCM(35850,35862) = 214275450

Least Common Multiple (LCM) of 35850 and 35862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35850 and 35862. First we will calculate the prime factors of 35850 and 35862.

Prime Factorization of 35850

Prime Factorization of 35862

Now multiplying the highest exponent prime factors to calculate the LCM of 35850 and 35862.

LCM(35850,35862) = 2¹ × 3¹ × 5² × 239¹ × 43¹ × 139¹
LCM(35850,35862) = 214275450