What is the Least Common Multiple of 82288 and 82295?

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 82288 and 82295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82288 and 82295, than apply into the LCM equation.

GCF(82288,82295) = 1
LCM(82288,82295) = ( 82288 × 82295) / 1
LCM(82288,82295) = 6771890960 / 1
LCM(82288,82295) = 6771890960

Least Common Multiple (LCM) of 82288 and 82295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82288 and 82295. First we will calculate the prime factors of 82288 and 82295.

Prime Factorization of 82288

Prime Factorization of 82295

Now multiplying the highest exponent prime factors to calculate the LCM of 82288 and 82295.

LCM(82288,82295) = 2⁴ × 37¹ × 139¹ × 5¹ × 109¹ × 151¹
LCM(82288,82295) = 6771890960