What is the Least Common Multiple of 65278 and 65298?

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 65278 and 65298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65278 and 65298, than apply into the LCM equation.

GCF(65278,65298) = 2
LCM(65278,65298) = ( 65278 × 65298) / 2
LCM(65278,65298) = 4262522844 / 2
LCM(65278,65298) = 2131261422

Least Common Multiple (LCM) of 65278 and 65298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65278 and 65298. First we will calculate the prime factors of 65278 and 65298.

Prime Factorization of 65278

Prime Factorization of 65298

Now multiplying the highest exponent prime factors to calculate the LCM of 65278 and 65298.

LCM(65278,65298) = 2¹ × 127¹ × 257¹ × 3¹ × 10883¹
LCM(65278,65298) = 2131261422