What is the Least Common Multiple of 69663 and 69669?

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 69663 and 69669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69663 and 69669, than apply into the LCM equation.

GCF(69663,69669) = 3
LCM(69663,69669) = ( 69663 × 69669) / 3
LCM(69663,69669) = 4853351547 / 3
LCM(69663,69669) = 1617783849

Least Common Multiple (LCM) of 69663 and 69669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69663 and 69669. First we will calculate the prime factors of 69663 and 69669.

Prime Factorization of 69663

Prime Factorization of 69669

Now multiplying the highest exponent prime factors to calculate the LCM of 69663 and 69669.

LCM(69663,69669) = 3² × 11¹ × 2111¹ × 7741¹
LCM(69663,69669) = 1617783849