What is the Least Common Multiple of 65753 and 65771?

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 65753 and 65771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65753 and 65771, than apply into the LCM equation.

GCF(65753,65771) = 1
LCM(65753,65771) = ( 65753 × 65771) / 1
LCM(65753,65771) = 4324640563 / 1
LCM(65753,65771) = 4324640563

Least Common Multiple (LCM) of 65753 and 65771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65753 and 65771. First we will calculate the prime factors of 65753 and 65771.

Prime Factorization of 65753

Prime Factorization of 65771

Now multiplying the highest exponent prime factors to calculate the LCM of 65753 and 65771.

LCM(65753,65771) = 47¹ × 1399¹ × 89¹ × 739¹
LCM(65753,65771) = 4324640563