What is the Least Common Multiple of 35968 and 35982?

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 35968 and 35982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35968 and 35982, than apply into the LCM equation.

GCF(35968,35982) = 2
LCM(35968,35982) = ( 35968 × 35982) / 2
LCM(35968,35982) = 1294200576 / 2
LCM(35968,35982) = 647100288

Least Common Multiple (LCM) of 35968 and 35982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35968 and 35982. First we will calculate the prime factors of 35968 and 35982.

Prime Factorization of 35968

Prime Factorization of 35982

Now multiplying the highest exponent prime factors to calculate the LCM of 35968 and 35982.

LCM(35968,35982) = 2⁷ × 281¹ × 3² × 1999¹
LCM(35968,35982) = 647100288