What is the Least Common Multiple of 65988 and 65994?

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 65988 and 65994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65988 and 65994, than apply into the LCM equation.

GCF(65988,65994) = 6
LCM(65988,65994) = ( 65988 × 65994) / 6
LCM(65988,65994) = 4354812072 / 6
LCM(65988,65994) = 725802012

Least Common Multiple (LCM) of 65988 and 65994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65988 and 65994. First we will calculate the prime factors of 65988 and 65994.

Prime Factorization of 65988

Prime Factorization of 65994

Now multiplying the highest exponent prime factors to calculate the LCM of 65988 and 65994.

LCM(65988,65994) = 2² × 3³ × 13¹ × 47¹ × 17¹ × 647¹
LCM(65988,65994) = 725802012