What is the Least Common Multiple of 65456 and 65460?

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 65456 and 65460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65456 and 65460, than apply into the LCM equation.

GCF(65456,65460) = 4
LCM(65456,65460) = ( 65456 × 65460) / 4
LCM(65456,65460) = 4284749760 / 4
LCM(65456,65460) = 1071187440

Least Common Multiple (LCM) of 65456 and 65460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65456 and 65460. First we will calculate the prime factors of 65456 and 65460.

Prime Factorization of 65456

Prime Factorization of 65460

Now multiplying the highest exponent prime factors to calculate the LCM of 65456 and 65460.

LCM(65456,65460) = 2⁴ × 4091¹ × 3¹ × 5¹ × 1091¹
LCM(65456,65460) = 1071187440