What is the Least Common Multiple of 65736 and 65753?

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 65736 and 65753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65736 and 65753, than apply into the LCM equation.

GCF(65736,65753) = 1
LCM(65736,65753) = ( 65736 × 65753) / 1
LCM(65736,65753) = 4322339208 / 1
LCM(65736,65753) = 4322339208

Least Common Multiple (LCM) of 65736 and 65753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65736 and 65753. First we will calculate the prime factors of 65736 and 65753.

Prime Factorization of 65736

Prime Factorization of 65753

Now multiplying the highest exponent prime factors to calculate the LCM of 65736 and 65753.

LCM(65736,65753) = 2³ × 3² × 11¹ × 83¹ × 47¹ × 1399¹
LCM(65736,65753) = 4322339208