What is the Least Common Multiple of 35663 and 35683?

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 35663 and 35683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35663 and 35683, than apply into the LCM equation.

GCF(35663,35683) = 1
LCM(35663,35683) = ( 35663 × 35683) / 1
LCM(35663,35683) = 1272562829 / 1
LCM(35663,35683) = 1272562829

Least Common Multiple (LCM) of 35663 and 35683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35663 and 35683. First we will calculate the prime factors of 35663 and 35683.

Prime Factorization of 35663

Prime Factorization of 35683

Now multiplying the highest exponent prime factors to calculate the LCM of 35663 and 35683.

LCM(35663,35683) = 19¹ × 1877¹ × 17¹ × 2099¹
LCM(35663,35683) = 1272562829