What is the Least Common Multiple of 60625 and 60629?

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 60625 and 60629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60625 and 60629, than apply into the LCM equation.

GCF(60625,60629) = 1
LCM(60625,60629) = ( 60625 × 60629) / 1
LCM(60625,60629) = 3675633125 / 1
LCM(60625,60629) = 3675633125

Least Common Multiple (LCM) of 60625 and 60629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60625 and 60629. First we will calculate the prime factors of 60625 and 60629.

Prime Factorization of 60625

Prime Factorization of 60629

Now multiplying the highest exponent prime factors to calculate the LCM of 60625 and 60629.

LCM(60625,60629) = 5⁴ × 97¹ × 19¹ × 3191¹
LCM(60625,60629) = 3675633125