What is the Least Common Multiple of 77554 and 77571?

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 77554 and 77571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77554 and 77571, than apply into the LCM equation.

GCF(77554,77571) = 17
LCM(77554,77571) = ( 77554 × 77571) / 17
LCM(77554,77571) = 6015941334 / 17
LCM(77554,77571) = 353878902

Least Common Multiple (LCM) of 77554 and 77571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77554 and 77571. First we will calculate the prime factors of 77554 and 77571.

Prime Factorization of 77554

Prime Factorization of 77571

Now multiplying the highest exponent prime factors to calculate the LCM of 77554 and 77571.

LCM(77554,77571) = 2¹ × 17¹ × 2281¹ × 3³ × 13²
LCM(77554,77571) = 353878902