What is the Least Common Multiple of 65520 and 65535?

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 65520 and 65535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65520 and 65535, than apply into the LCM equation.

GCF(65520,65535) = 15
LCM(65520,65535) = ( 65520 × 65535) / 15
LCM(65520,65535) = 4293853200 / 15
LCM(65520,65535) = 286256880

Least Common Multiple (LCM) of 65520 and 65535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65520 and 65535. First we will calculate the prime factors of 65520 and 65535.

Prime Factorization of 65520

Prime Factorization of 65535

Now multiplying the highest exponent prime factors to calculate the LCM of 65520 and 65535.

LCM(65520,65535) = 2⁴ × 3² × 5¹ × 7¹ × 13¹ × 17¹ × 257¹
LCM(65520,65535) = 286256880