What is the Least Common Multiple of 71625 and 71643?

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 71625 and 71643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71625 and 71643, than apply into the LCM equation.

GCF(71625,71643) = 3
LCM(71625,71643) = ( 71625 × 71643) / 3
LCM(71625,71643) = 5131429875 / 3
LCM(71625,71643) = 1710476625

Least Common Multiple (LCM) of 71625 and 71643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71625 and 71643. First we will calculate the prime factors of 71625 and 71643.

Prime Factorization of 71625

Prime Factorization of 71643

Now multiplying the highest exponent prime factors to calculate the LCM of 71625 and 71643.

LCM(71625,71643) = 3¹ × 5³ × 191¹ × 11¹ × 13¹ × 167¹
LCM(71625,71643) = 1710476625