What is the Least Common Multiple of 49551 and 49571?

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 49551 and 49571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49551 and 49571, than apply into the LCM equation.

GCF(49551,49571) = 1
LCM(49551,49571) = ( 49551 × 49571) / 1
LCM(49551,49571) = 2456292621 / 1
LCM(49551,49571) = 2456292621

Least Common Multiple (LCM) of 49551 and 49571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49551 and 49571. First we will calculate the prime factors of 49551 and 49571.

Prime Factorization of 49551

Prime Factorization of 49571

Now multiplying the highest exponent prime factors to calculate the LCM of 49551 and 49571.

LCM(49551,49571) = 3¹ × 83¹ × 199¹ × 19¹ × 2609¹
LCM(49551,49571) = 2456292621