What is the Least Common Multiple of 69966 and 69986?

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 69966 and 69986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69966 and 69986, than apply into the LCM equation.

GCF(69966,69986) = 2
LCM(69966,69986) = ( 69966 × 69986) / 2
LCM(69966,69986) = 4896640476 / 2
LCM(69966,69986) = 2448320238

Least Common Multiple (LCM) of 69966 and 69986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69966 and 69986. First we will calculate the prime factors of 69966 and 69986.

Prime Factorization of 69966

Prime Factorization of 69986

Now multiplying the highest exponent prime factors to calculate the LCM of 69966 and 69986.

LCM(69966,69986) = 2¹ × 3² × 13² × 23¹ × 7¹ × 4999¹
LCM(69966,69986) = 2448320238