What is the Least Common Multiple of 77753 and 77771?

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 77753 and 77771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77753 and 77771, than apply into the LCM equation.

GCF(77753,77771) = 1
LCM(77753,77771) = ( 77753 × 77771) / 1
LCM(77753,77771) = 6046928563 / 1
LCM(77753,77771) = 6046928563

Least Common Multiple (LCM) of 77753 and 77771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77753 and 77771. First we will calculate the prime factors of 77753 and 77771.

Prime Factorization of 77753

Prime Factorization of 77771

Now multiplying the highest exponent prime factors to calculate the LCM of 77753 and 77771.

LCM(77753,77771) = 13¹ × 5981¹ × 83¹ × 937¹
LCM(77753,77771) = 6046928563