What is the Least Common Multiple of 65278 and 65290?

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 65290 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 65290, than apply into the LCM equation.

GCF(65278,65290) = 2
LCM(65278,65290) = ( 65278 × 65290) / 2
LCM(65278,65290) = 4262000620 / 2
LCM(65278,65290) = 2131000310

Least Common Multiple (LCM) of 65278 and 65290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65278 and 65290. First we will calculate the prime factors of 65278 and 65290.

Prime Factorization of 65278

Prime Factorization of 65290

Now multiplying the highest exponent prime factors to calculate the LCM of 65278 and 65290.

LCM(65278,65290) = 2¹ × 127¹ × 257¹ × 5¹ × 6529¹
LCM(65278,65290) = 2131000310