What is the Least Common Multiple of 69666 and 69675?

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 69666 and 69675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69666 and 69675, than apply into the LCM equation.

GCF(69666,69675) = 3
LCM(69666,69675) = ( 69666 × 69675) / 3
LCM(69666,69675) = 4853978550 / 3
LCM(69666,69675) = 1617992850

Least Common Multiple (LCM) of 69666 and 69675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69666 and 69675. First we will calculate the prime factors of 69666 and 69675.

Prime Factorization of 69666

Prime Factorization of 69675

Now multiplying the highest exponent prime factors to calculate the LCM of 69666 and 69675.

LCM(69666,69675) = 2¹ × 3¹ × 17¹ × 683¹ × 5² × 929¹
LCM(69666,69675) = 1617992850