What is the Least Common Multiple of 65069 and 65075?

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 65069 and 65075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65069 and 65075, than apply into the LCM equation.

GCF(65069,65075) = 1
LCM(65069,65075) = ( 65069 × 65075) / 1
LCM(65069,65075) = 4234365175 / 1
LCM(65069,65075) = 4234365175

Least Common Multiple (LCM) of 65069 and 65075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65069 and 65075. First we will calculate the prime factors of 65069 and 65075.

Prime Factorization of 65069

Prime Factorization of 65075

Now multiplying the highest exponent prime factors to calculate the LCM of 65069 and 65075.

LCM(65069,65075) = 31¹ × 2099¹ × 5² × 19¹ × 137¹
LCM(65069,65075) = 4234365175