What is the Least Common Multiple of 26145 and 26150?

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 26145 and 26150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26145 and 26150, than apply into the LCM equation.

GCF(26145,26150) = 5
LCM(26145,26150) = ( 26145 × 26150) / 5
LCM(26145,26150) = 683691750 / 5
LCM(26145,26150) = 136738350

Least Common Multiple (LCM) of 26145 and 26150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26145 and 26150. First we will calculate the prime factors of 26145 and 26150.

Prime Factorization of 26145

Prime Factorization of 26150

Now multiplying the highest exponent prime factors to calculate the LCM of 26145 and 26150.

LCM(26145,26150) = 3² × 5² × 7¹ × 83¹ × 2¹ × 523¹
LCM(26145,26150) = 136738350