What is the Least Common Multiple of 75569 and 75587?

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 75569 and 75587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75569 and 75587, than apply into the LCM equation.

GCF(75569,75587) = 1
LCM(75569,75587) = ( 75569 × 75587) / 1
LCM(75569,75587) = 5712034003 / 1
LCM(75569,75587) = 5712034003

Least Common Multiple (LCM) of 75569 and 75587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75569 and 75587. First we will calculate the prime factors of 75569 and 75587.

Prime Factorization of 75569

Prime Factorization of 75587

Now multiplying the highest exponent prime factors to calculate the LCM of 75569 and 75587.

LCM(75569,75587) = 13¹ × 5813¹ × 131¹ × 577¹
LCM(75569,75587) = 5712034003