What is the Least Common Multiple of 10278 and 10298?

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 10278 and 10298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10278 and 10298, than apply into the LCM equation.

GCF(10278,10298) = 2
LCM(10278,10298) = ( 10278 × 10298) / 2
LCM(10278,10298) = 105842844 / 2
LCM(10278,10298) = 52921422

Least Common Multiple (LCM) of 10278 and 10298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10278 and 10298. First we will calculate the prime factors of 10278 and 10298.

Prime Factorization of 10278

Prime Factorization of 10298

Now multiplying the highest exponent prime factors to calculate the LCM of 10278 and 10298.

LCM(10278,10298) = 2¹ × 3² × 571¹ × 19¹ × 271¹
LCM(10278,10298) = 52921422