What is the Least Common Multiple of 75755 and 75771?

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 75755 and 75771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75755 and 75771, than apply into the LCM equation.

GCF(75755,75771) = 1
LCM(75755,75771) = ( 75755 × 75771) / 1
LCM(75755,75771) = 5740032105 / 1
LCM(75755,75771) = 5740032105

Least Common Multiple (LCM) of 75755 and 75771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75755 and 75771. First we will calculate the prime factors of 75755 and 75771.

Prime Factorization of 75755

Prime Factorization of 75771

Now multiplying the highest exponent prime factors to calculate the LCM of 75755 and 75771.

LCM(75755,75771) = 5¹ × 109¹ × 139¹ × 3² × 8419¹
LCM(75755,75771) = 5740032105