What is the Least Common Multiple of 71588 and 71596?

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 71588 and 71596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71588 and 71596, than apply into the LCM equation.

GCF(71588,71596) = 4
LCM(71588,71596) = ( 71588 × 71596) / 4
LCM(71588,71596) = 5125414448 / 4
LCM(71588,71596) = 1281353612

Least Common Multiple (LCM) of 71588 and 71596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71588 and 71596. First we will calculate the prime factors of 71588 and 71596.

Prime Factorization of 71588

Prime Factorization of 71596

Now multiplying the highest exponent prime factors to calculate the LCM of 71588 and 71596.

LCM(71588,71596) = 2² × 11¹ × 1627¹ × 7¹ × 2557¹
LCM(71588,71596) = 1281353612