What is the Least Common Multiple of 35882 and 35888?

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 35882 and 35888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35882 and 35888, than apply into the LCM equation.

GCF(35882,35888) = 2
LCM(35882,35888) = ( 35882 × 35888) / 2
LCM(35882,35888) = 1287733216 / 2
LCM(35882,35888) = 643866608

Least Common Multiple (LCM) of 35882 and 35888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35882 and 35888. First we will calculate the prime factors of 35882 and 35888.

Prime Factorization of 35882

Prime Factorization of 35888

Now multiplying the highest exponent prime factors to calculate the LCM of 35882 and 35888.

LCM(35882,35888) = 2⁴ × 7¹ × 11¹ × 233¹ × 2243¹
LCM(35882,35888) = 643866608