What is the Least Common Multiple of 82892 and 82897?

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 82892 and 82897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82892 and 82897, than apply into the LCM equation.

GCF(82892,82897) = 1
LCM(82892,82897) = ( 82892 × 82897) / 1
LCM(82892,82897) = 6871498124 / 1
LCM(82892,82897) = 6871498124

Least Common Multiple (LCM) of 82892 and 82897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82892 and 82897. First we will calculate the prime factors of 82892 and 82897.

Prime Factorization of 82892

Prime Factorization of 82897

Now multiplying the highest exponent prime factors to calculate the LCM of 82892 and 82897.

LCM(82892,82897) = 2² × 17¹ × 23¹ × 53¹ × 19¹ × 4363¹
LCM(82892,82897) = 6871498124