What is the Least Common Multiple of 35820 and 35825?

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 35825 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 35825, than apply into the LCM equation.

GCF(35820,35825) = 5
LCM(35820,35825) = ( 35820 × 35825) / 5
LCM(35820,35825) = 1283251500 / 5
LCM(35820,35825) = 256650300

Least Common Multiple (LCM) of 35820 and 35825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35820 and 35825. First we will calculate the prime factors of 35820 and 35825.

Prime Factorization of 35820

Prime Factorization of 35825

Now multiplying the highest exponent prime factors to calculate the LCM of 35820 and 35825.

LCM(35820,35825) = 2² × 3² × 5² × 199¹ × 1433¹
LCM(35820,35825) = 256650300