What is the Least Common Multiple of 75905 and 75925?

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 75905 and 75925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75905 and 75925, than apply into the LCM equation.

GCF(75905,75925) = 5
LCM(75905,75925) = ( 75905 × 75925) / 5
LCM(75905,75925) = 5763087125 / 5
LCM(75905,75925) = 1152617425

Least Common Multiple (LCM) of 75905 and 75925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75905 and 75925. First we will calculate the prime factors of 75905 and 75925.

Prime Factorization of 75905

Prime Factorization of 75925

Now multiplying the highest exponent prime factors to calculate the LCM of 75905 and 75925.

LCM(75905,75925) = 5² × 17¹ × 19¹ × 47¹ × 3037¹
LCM(75905,75925) = 1152617425