What is the Least Common Multiple of 65314 and 65320?

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 65314 and 65320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65314 and 65320, than apply into the LCM equation.

GCF(65314,65320) = 2
LCM(65314,65320) = ( 65314 × 65320) / 2
LCM(65314,65320) = 4266310480 / 2
LCM(65314,65320) = 2133155240

Least Common Multiple (LCM) of 65314 and 65320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65314 and 65320. First we will calculate the prime factors of 65314 and 65320.

Prime Factorization of 65314

Prime Factorization of 65320

Now multiplying the highest exponent prime factors to calculate the LCM of 65314 and 65320.

LCM(65314,65320) = 2³ × 17² × 113¹ × 5¹ × 23¹ × 71¹
LCM(65314,65320) = 2133155240