What is the Least Common Multiple of 71577 and 71588?

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 71577 and 71588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71577 and 71588, than apply into the LCM equation.

GCF(71577,71588) = 11
LCM(71577,71588) = ( 71577 × 71588) / 11
LCM(71577,71588) = 5124054276 / 11
LCM(71577,71588) = 465823116

Least Common Multiple (LCM) of 71577 and 71588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71577 and 71588. First we will calculate the prime factors of 71577 and 71588.

Prime Factorization of 71577

Prime Factorization of 71588

Now multiplying the highest exponent prime factors to calculate the LCM of 71577 and 71588.

LCM(71577,71588) = 3³ × 11¹ × 241¹ × 2² × 1627¹
LCM(71577,71588) = 465823116