What is the Least Common Multiple of 75551 and 75571?

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 75551 and 75571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75551 and 75571, than apply into the LCM equation.

GCF(75551,75571) = 1
LCM(75551,75571) = ( 75551 × 75571) / 1
LCM(75551,75571) = 5709464621 / 1
LCM(75551,75571) = 5709464621

Least Common Multiple (LCM) of 75551 and 75571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75551 and 75571. First we will calculate the prime factors of 75551 and 75571.

Prime Factorization of 75551

Prime Factorization of 75571

Now multiplying the highest exponent prime factors to calculate the LCM of 75551 and 75571.

LCM(75551,75571) = 7¹ × 43¹ × 251¹ × 75571¹
LCM(75551,75571) = 5709464621