What is the Least Common Multiple of 52270 and 52288?

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 52270 and 52288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52270 and 52288, than apply into the LCM equation.

GCF(52270,52288) = 2
LCM(52270,52288) = ( 52270 × 52288) / 2
LCM(52270,52288) = 2733093760 / 2
LCM(52270,52288) = 1366546880

Least Common Multiple (LCM) of 52270 and 52288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52270 and 52288. First we will calculate the prime factors of 52270 and 52288.

Prime Factorization of 52270

Prime Factorization of 52288

Now multiplying the highest exponent prime factors to calculate the LCM of 52270 and 52288.

LCM(52270,52288) = 2⁶ × 5¹ × 5227¹ × 19¹ × 43¹
LCM(52270,52288) = 1366546880