What is the Least Common Multiple of 52657 and 52677?

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 52657 and 52677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52657 and 52677, than apply into the LCM equation.

GCF(52657,52677) = 1
LCM(52657,52677) = ( 52657 × 52677) / 1
LCM(52657,52677) = 2773812789 / 1
LCM(52657,52677) = 2773812789

Least Common Multiple (LCM) of 52657 and 52677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52657 and 52677. First we will calculate the prime factors of 52657 and 52677.

Prime Factorization of 52657

Prime Factorization of 52677

Now multiplying the highest exponent prime factors to calculate the LCM of 52657 and 52677.

LCM(52657,52677) = 11¹ × 4787¹ × 3³ × 1951¹
LCM(52657,52677) = 2773812789