What is the Least Common Multiple of 65705 and 65725?

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 65705 and 65725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65705 and 65725, than apply into the LCM equation.

GCF(65705,65725) = 5
LCM(65705,65725) = ( 65705 × 65725) / 5
LCM(65705,65725) = 4318461125 / 5
LCM(65705,65725) = 863692225

Least Common Multiple (LCM) of 65705 and 65725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65705 and 65725. First we will calculate the prime factors of 65705 and 65725.

Prime Factorization of 65705

Prime Factorization of 65725

Now multiplying the highest exponent prime factors to calculate the LCM of 65705 and 65725.

LCM(65705,65725) = 5² × 17¹ × 773¹ × 11¹ × 239¹
LCM(65705,65725) = 863692225