What is the Least Common Multiple of 65994 and 65999?

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 65994 and 65999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65994 and 65999, than apply into the LCM equation.

GCF(65994,65999) = 1
LCM(65994,65999) = ( 65994 × 65999) / 1
LCM(65994,65999) = 4355538006 / 1
LCM(65994,65999) = 4355538006

Least Common Multiple (LCM) of 65994 and 65999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65994 and 65999. First we will calculate the prime factors of 65994 and 65999.

Prime Factorization of 65994

Prime Factorization of 65999

Now multiplying the highest exponent prime factors to calculate the LCM of 65994 and 65999.

LCM(65994,65999) = 2¹ × 3¹ × 17¹ × 647¹ × 31¹ × 2129¹
LCM(65994,65999) = 4355538006