What is the Least Common Multiple of 35820 and 35829?

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 35820 and 35829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35820 and 35829, than apply into the LCM equation.

GCF(35820,35829) = 9
LCM(35820,35829) = ( 35820 × 35829) / 9
LCM(35820,35829) = 1283394780 / 9
LCM(35820,35829) = 142599420

Least Common Multiple (LCM) of 35820 and 35829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35820 and 35829. First we will calculate the prime factors of 35820 and 35829.

Prime Factorization of 35820

Prime Factorization of 35829

Now multiplying the highest exponent prime factors to calculate the LCM of 35820 and 35829.

LCM(35820,35829) = 2² × 3³ × 5¹ × 199¹ × 1327¹
LCM(35820,35829) = 142599420