What is the Least Common Multiple of 65805 and 65820?

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 65805 and 65820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65805 and 65820, than apply into the LCM equation.

GCF(65805,65820) = 15
LCM(65805,65820) = ( 65805 × 65820) / 15
LCM(65805,65820) = 4331285100 / 15
LCM(65805,65820) = 288752340

Least Common Multiple (LCM) of 65805 and 65820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65805 and 65820. First we will calculate the prime factors of 65805 and 65820.

Prime Factorization of 65805

Prime Factorization of 65820

Now multiplying the highest exponent prime factors to calculate the LCM of 65805 and 65820.

LCM(65805,65820) = 3¹ × 5¹ × 41¹ × 107¹ × 2² × 1097¹
LCM(65805,65820) = 288752340