What is the Least Common Multiple of 65260 and 65280?

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 65260 and 65280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65260 and 65280, than apply into the LCM equation.

GCF(65260,65280) = 20
LCM(65260,65280) = ( 65260 × 65280) / 20
LCM(65260,65280) = 4260172800 / 20
LCM(65260,65280) = 213008640

Least Common Multiple (LCM) of 65260 and 65280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65260 and 65280. First we will calculate the prime factors of 65260 and 65280.

Prime Factorization of 65260

Prime Factorization of 65280

Now multiplying the highest exponent prime factors to calculate the LCM of 65260 and 65280.

LCM(65260,65280) = 2⁸ × 5¹ × 13¹ × 251¹ × 3¹ × 17¹
LCM(65260,65280) = 213008640