What is the Least Common Multiple of 65968 and 65986?

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 65968 and 65986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65968 and 65986, than apply into the LCM equation.

GCF(65968,65986) = 2
LCM(65968,65986) = ( 65968 × 65986) / 2
LCM(65968,65986) = 4352964448 / 2
LCM(65968,65986) = 2176482224

Least Common Multiple (LCM) of 65968 and 65986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65968 and 65986. First we will calculate the prime factors of 65968 and 65986.

Prime Factorization of 65968

Prime Factorization of 65986

Now multiplying the highest exponent prime factors to calculate the LCM of 65968 and 65986.

LCM(65968,65986) = 2⁴ × 7¹ × 19¹ × 31¹ × 32993¹
LCM(65968,65986) = 2176482224