What is the Least Common Multiple of 36265 and 36285?

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 36265 and 36285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36265 and 36285, than apply into the LCM equation.

GCF(36265,36285) = 5
LCM(36265,36285) = ( 36265 × 36285) / 5
LCM(36265,36285) = 1315875525 / 5
LCM(36265,36285) = 263175105

Least Common Multiple (LCM) of 36265 and 36285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36265 and 36285. First we will calculate the prime factors of 36265 and 36285.

Prime Factorization of 36265

Prime Factorization of 36285

Now multiplying the highest exponent prime factors to calculate the LCM of 36265 and 36285.

LCM(36265,36285) = 5¹ × 7253¹ × 3¹ × 41¹ × 59¹
LCM(36265,36285) = 263175105