What is the Least Common Multiple of 35809 and 35824?

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 35809 and 35824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35809 and 35824, than apply into the LCM equation.

GCF(35809,35824) = 1
LCM(35809,35824) = ( 35809 × 35824) / 1
LCM(35809,35824) = 1282821616 / 1
LCM(35809,35824) = 1282821616

Least Common Multiple (LCM) of 35809 and 35824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35809 and 35824. First we will calculate the prime factors of 35809 and 35824.

Prime Factorization of 35809

Prime Factorization of 35824

Now multiplying the highest exponent prime factors to calculate the LCM of 35809 and 35824.

LCM(35809,35824) = 35809¹ × 2⁴ × 2239¹
LCM(35809,35824) = 1282821616