What is the Least Common Multiple of 65438 and 65457?

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 65438 and 65457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65438 and 65457, than apply into the LCM equation.

GCF(65438,65457) = 1
LCM(65438,65457) = ( 65438 × 65457) / 1
LCM(65438,65457) = 4283375166 / 1
LCM(65438,65457) = 4283375166

Least Common Multiple (LCM) of 65438 and 65457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65438 and 65457. First we will calculate the prime factors of 65438 and 65457.

Prime Factorization of 65438

Prime Factorization of 65457

Now multiplying the highest exponent prime factors to calculate the LCM of 65438 and 65457.

LCM(65438,65457) = 2¹ × 32719¹ × 3² × 7¹ × 1039¹
LCM(65438,65457) = 4283375166