What is the Least Common Multiple of 65470 and 65486?

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 65470 and 65486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65470 and 65486, than apply into the LCM equation.

GCF(65470,65486) = 2
LCM(65470,65486) = ( 65470 × 65486) / 2
LCM(65470,65486) = 4287368420 / 2
LCM(65470,65486) = 2143684210

Least Common Multiple (LCM) of 65470 and 65486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65470 and 65486. First we will calculate the prime factors of 65470 and 65486.

Prime Factorization of 65470

Prime Factorization of 65486

Now multiplying the highest exponent prime factors to calculate the LCM of 65470 and 65486.

LCM(65470,65486) = 2¹ × 5¹ × 6547¹ × 137¹ × 239¹
LCM(65470,65486) = 2143684210