What is the Least Common Multiple of 10270 and 10278?

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 10270 and 10278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10270 and 10278, than apply into the LCM equation.

GCF(10270,10278) = 2
LCM(10270,10278) = ( 10270 × 10278) / 2
LCM(10270,10278) = 105555060 / 2
LCM(10270,10278) = 52777530

Least Common Multiple (LCM) of 10270 and 10278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10270 and 10278. First we will calculate the prime factors of 10270 and 10278.

Prime Factorization of 10270

Prime Factorization of 10278

Now multiplying the highest exponent prime factors to calculate the LCM of 10270 and 10278.

LCM(10270,10278) = 2¹ × 5¹ × 13¹ × 79¹ × 3² × 571¹
LCM(10270,10278) = 52777530