What is the Least Common Multiple of 10292 and 10297?

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 10292 and 10297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10292 and 10297, than apply into the LCM equation.

GCF(10292,10297) = 1
LCM(10292,10297) = ( 10292 × 10297) / 1
LCM(10292,10297) = 105976724 / 1
LCM(10292,10297) = 105976724

Least Common Multiple (LCM) of 10292 and 10297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10292 and 10297. First we will calculate the prime factors of 10292 and 10297.

Prime Factorization of 10292

Prime Factorization of 10297

Now multiplying the highest exponent prime factors to calculate the LCM of 10292 and 10297.

LCM(10292,10297) = 2² × 31¹ × 83¹ × 7¹ × 1471¹
LCM(10292,10297) = 105976724