What is the Least Common Multiple of 71569 and 71576?

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 71569 and 71576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71569 and 71576, than apply into the LCM equation.

GCF(71569,71576) = 1
LCM(71569,71576) = ( 71569 × 71576) / 1
LCM(71569,71576) = 5122622744 / 1
LCM(71569,71576) = 5122622744

Least Common Multiple (LCM) of 71569 and 71576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71569 and 71576. First we will calculate the prime factors of 71569 and 71576.

Prime Factorization of 71569

Prime Factorization of 71576

Now multiplying the highest exponent prime factors to calculate the LCM of 71569 and 71576.

LCM(71569,71576) = 71569¹ × 2³ × 23¹ × 389¹
LCM(71569,71576) = 5122622744