What is the Least Common Multiple of 35968 and 35974?

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 35974 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 35974, than apply into the LCM equation.

GCF(35968,35974) = 2
LCM(35968,35974) = ( 35968 × 35974) / 2
LCM(35968,35974) = 1293912832 / 2
LCM(35968,35974) = 646956416

Least Common Multiple (LCM) of 35968 and 35974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35968 and 35974. First we will calculate the prime factors of 35968 and 35974.

Prime Factorization of 35968

Prime Factorization of 35974

Now multiplying the highest exponent prime factors to calculate the LCM of 35968 and 35974.

LCM(35968,35974) = 2⁷ × 281¹ × 17987¹
LCM(35968,35974) = 646956416