What is the Least Common Multiple of 71609 and 71625?

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 71609 and 71625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71609 and 71625, than apply into the LCM equation.

GCF(71609,71625) = 1
LCM(71609,71625) = ( 71609 × 71625) / 1
LCM(71609,71625) = 5128994625 / 1
LCM(71609,71625) = 5128994625

Least Common Multiple (LCM) of 71609 and 71625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71609 and 71625. First we will calculate the prime factors of 71609 and 71625.

Prime Factorization of 71609

Prime Factorization of 71625

Now multiplying the highest exponent prime factors to calculate the LCM of 71609 and 71625.

LCM(71609,71625) = 101¹ × 709¹ × 3¹ × 5³ × 191¹
LCM(71609,71625) = 5128994625