What is the Least Common Multiple of 65270 and 65286?

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 65270 and 65286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65270 and 65286, than apply into the LCM equation.

GCF(65270,65286) = 2
LCM(65270,65286) = ( 65270 × 65286) / 2
LCM(65270,65286) = 4261217220 / 2
LCM(65270,65286) = 2130608610

Least Common Multiple (LCM) of 65270 and 65286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65270 and 65286. First we will calculate the prime factors of 65270 and 65286.

Prime Factorization of 65270

Prime Factorization of 65286

Now multiplying the highest exponent prime factors to calculate the LCM of 65270 and 65286.

LCM(65270,65286) = 2¹ × 5¹ × 61¹ × 107¹ × 3⁴ × 13¹ × 31¹
LCM(65270,65286) = 2130608610