What is the Least Common Multiple of 26275 and 26290?

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 26275 and 26290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26275 and 26290, than apply into the LCM equation.

GCF(26275,26290) = 5
LCM(26275,26290) = ( 26275 × 26290) / 5
LCM(26275,26290) = 690769750 / 5
LCM(26275,26290) = 138153950

Least Common Multiple (LCM) of 26275 and 26290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26275 and 26290. First we will calculate the prime factors of 26275 and 26290.

Prime Factorization of 26275

Prime Factorization of 26290

Now multiplying the highest exponent prime factors to calculate the LCM of 26275 and 26290.

LCM(26275,26290) = 5² × 1051¹ × 2¹ × 11¹ × 239¹
LCM(26275,26290) = 138153950