What is the Least Common Multiple of 52269 and 52275?

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 52269 and 52275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52269 and 52275, than apply into the LCM equation.

GCF(52269,52275) = 3
LCM(52269,52275) = ( 52269 × 52275) / 3
LCM(52269,52275) = 2732361975 / 3
LCM(52269,52275) = 910787325

Least Common Multiple (LCM) of 52269 and 52275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52269 and 52275. First we will calculate the prime factors of 52269 and 52275.

Prime Factorization of 52269

Prime Factorization of 52275

Now multiplying the highest exponent prime factors to calculate the LCM of 52269 and 52275.

LCM(52269,52275) = 3¹ × 7¹ × 19¹ × 131¹ × 5² × 17¹ × 41¹
LCM(52269,52275) = 910787325