What is the Least Common Multiple of 26510 and 26525?

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 26510 and 26525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26510 and 26525, than apply into the LCM equation.

GCF(26510,26525) = 5
LCM(26510,26525) = ( 26510 × 26525) / 5
LCM(26510,26525) = 703177750 / 5
LCM(26510,26525) = 140635550

Least Common Multiple (LCM) of 26510 and 26525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26510 and 26525. First we will calculate the prime factors of 26510 and 26525.

Prime Factorization of 26510

Prime Factorization of 26525

Now multiplying the highest exponent prime factors to calculate the LCM of 26510 and 26525.

LCM(26510,26525) = 2¹ × 5² × 11¹ × 241¹ × 1061¹
LCM(26510,26525) = 140635550