What is the Least Common Multiple of 69954 and 69966?

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 69954 and 69966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69954 and 69966, than apply into the LCM equation.

GCF(69954,69966) = 6
LCM(69954,69966) = ( 69954 × 69966) / 6
LCM(69954,69966) = 4894401564 / 6
LCM(69954,69966) = 815733594

Least Common Multiple (LCM) of 69954 and 69966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69954 and 69966. First we will calculate the prime factors of 69954 and 69966.

Prime Factorization of 69954

Prime Factorization of 69966

Now multiplying the highest exponent prime factors to calculate the LCM of 69954 and 69966.

LCM(69954,69966) = 2¹ × 3² × 89¹ × 131¹ × 13² × 23¹
LCM(69954,69966) = 815733594