What is the Least Common Multiple of 65728 and 65740?

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 65728 and 65740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65728 and 65740, than apply into the LCM equation.

GCF(65728,65740) = 4
LCM(65728,65740) = ( 65728 × 65740) / 4
LCM(65728,65740) = 4320958720 / 4
LCM(65728,65740) = 1080239680

Least Common Multiple (LCM) of 65728 and 65740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65728 and 65740. First we will calculate the prime factors of 65728 and 65740.

Prime Factorization of 65728

Prime Factorization of 65740

Now multiplying the highest exponent prime factors to calculate the LCM of 65728 and 65740.

LCM(65728,65740) = 2⁶ × 13¹ × 79¹ × 5¹ × 19¹ × 173¹
LCM(65728,65740) = 1080239680