What is the Least Common Multiple of 10274 and 10292?

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 10274 and 10292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10274 and 10292, than apply into the LCM equation.

GCF(10274,10292) = 2
LCM(10274,10292) = ( 10274 × 10292) / 2
LCM(10274,10292) = 105740008 / 2
LCM(10274,10292) = 52870004

Least Common Multiple (LCM) of 10274 and 10292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10274 and 10292. First we will calculate the prime factors of 10274 and 10292.

Prime Factorization of 10274

Prime Factorization of 10292

Now multiplying the highest exponent prime factors to calculate the LCM of 10274 and 10292.

LCM(10274,10292) = 2² × 11¹ × 467¹ × 31¹ × 83¹
LCM(10274,10292) = 52870004