What is the Least Common Multiple of 65744 and 65760?

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 65744 and 65760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65744 and 65760, than apply into the LCM equation.

GCF(65744,65760) = 16
LCM(65744,65760) = ( 65744 × 65760) / 16
LCM(65744,65760) = 4323325440 / 16
LCM(65744,65760) = 270207840

Least Common Multiple (LCM) of 65744 and 65760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65744 and 65760. First we will calculate the prime factors of 65744 and 65760.

Prime Factorization of 65744

Prime Factorization of 65760

Now multiplying the highest exponent prime factors to calculate the LCM of 65744 and 65760.

LCM(65744,65760) = 2⁵ × 7¹ × 587¹ × 3¹ × 5¹ × 137¹
LCM(65744,65760) = 270207840