What is the Least Common Multiple of 82088 and 82102?

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 82088 and 82102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82088 and 82102, than apply into the LCM equation.

GCF(82088,82102) = 2
LCM(82088,82102) = ( 82088 × 82102) / 2
LCM(82088,82102) = 6739588976 / 2
LCM(82088,82102) = 3369794488

Least Common Multiple (LCM) of 82088 and 82102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82088 and 82102. First we will calculate the prime factors of 82088 and 82102.

Prime Factorization of 82088

Prime Factorization of 82102

Now multiplying the highest exponent prime factors to calculate the LCM of 82088 and 82102.

LCM(82088,82102) = 2³ × 31¹ × 331¹ × 41051¹
LCM(82088,82102) = 3369794488