What is the Least Common Multiple of 26270 and 26286?

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 26270 and 26286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26270 and 26286, than apply into the LCM equation.

GCF(26270,26286) = 2
LCM(26270,26286) = ( 26270 × 26286) / 2
LCM(26270,26286) = 690533220 / 2
LCM(26270,26286) = 345266610

Least Common Multiple (LCM) of 26270 and 26286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26270 and 26286. First we will calculate the prime factors of 26270 and 26286.

Prime Factorization of 26270

Prime Factorization of 26286

Now multiplying the highest exponent prime factors to calculate the LCM of 26270 and 26286.

LCM(26270,26286) = 2¹ × 5¹ × 37¹ × 71¹ × 3¹ × 13¹ × 337¹
LCM(26270,26286) = 345266610