What is the Least Common Multiple of 35984 and 35991?

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 35984 and 35991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35984 and 35991, than apply into the LCM equation.

GCF(35984,35991) = 1
LCM(35984,35991) = ( 35984 × 35991) / 1
LCM(35984,35991) = 1295100144 / 1
LCM(35984,35991) = 1295100144

Least Common Multiple (LCM) of 35984 and 35991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35984 and 35991. First we will calculate the prime factors of 35984 and 35991.

Prime Factorization of 35984

Prime Factorization of 35991

Now multiplying the highest exponent prime factors to calculate the LCM of 35984 and 35991.

LCM(35984,35991) = 2⁴ × 13¹ × 173¹ × 3³ × 31¹ × 43¹
LCM(35984,35991) = 1295100144