What is the Least Common Multiple of 52272 and 52289?

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 52272 and 52289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52272 and 52289, than apply into the LCM equation.

GCF(52272,52289) = 1
LCM(52272,52289) = ( 52272 × 52289) / 1
LCM(52272,52289) = 2733250608 / 1
LCM(52272,52289) = 2733250608

Least Common Multiple (LCM) of 52272 and 52289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52272 and 52289. First we will calculate the prime factors of 52272 and 52289.

Prime Factorization of 52272

Prime Factorization of 52289

Now multiplying the highest exponent prime factors to calculate the LCM of 52272 and 52289.

LCM(52272,52289) = 2⁴ × 3³ × 11² × 52289¹
LCM(52272,52289) = 2733250608