What is the Least Common Multiple of 41820 and 41825?

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 41820 and 41825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41820 and 41825, than apply into the LCM equation.

GCF(41820,41825) = 5
LCM(41820,41825) = ( 41820 × 41825) / 5
LCM(41820,41825) = 1749121500 / 5
LCM(41820,41825) = 349824300

Least Common Multiple (LCM) of 41820 and 41825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41820 and 41825. First we will calculate the prime factors of 41820 and 41825.

Prime Factorization of 41820

Prime Factorization of 41825

Now multiplying the highest exponent prime factors to calculate the LCM of 41820 and 41825.

LCM(41820,41825) = 2² × 3¹ × 5² × 17¹ × 41¹ × 7¹ × 239¹
LCM(41820,41825) = 349824300