What is the Least Common Multiple of 47757 and 47771?

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 47757 and 47771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47757 and 47771, than apply into the LCM equation.

GCF(47757,47771) = 1
LCM(47757,47771) = ( 47757 × 47771) / 1
LCM(47757,47771) = 2281399647 / 1
LCM(47757,47771) = 2281399647

Least Common Multiple (LCM) of 47757 and 47771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47757 and 47771. First we will calculate the prime factors of 47757 and 47771.

Prime Factorization of 47757

Prime Factorization of 47771

Now multiplying the highest exponent prime factors to calculate the LCM of 47757 and 47771.

LCM(47757,47771) = 3¹ × 15919¹ × 23¹ × 31¹ × 67¹
LCM(47757,47771) = 2281399647