What is the Least Common Multiple of 69553 and 69571?

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 69553 and 69571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69553 and 69571, than apply into the LCM equation.

GCF(69553,69571) = 1
LCM(69553,69571) = ( 69553 × 69571) / 1
LCM(69553,69571) = 4838871763 / 1
LCM(69553,69571) = 4838871763

Least Common Multiple (LCM) of 69553 and 69571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69553 and 69571. First we will calculate the prime factors of 69553 and 69571.

Prime Factorization of 69553

Prime Factorization of 69571

Now multiplying the highest exponent prime factors to calculate the LCM of 69553 and 69571.

LCM(69553,69571) = 11¹ × 6323¹ × 29¹ × 2399¹
LCM(69553,69571) = 4838871763