What is the Least Common Multiple of 90954 and 90966?

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 90954 and 90966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90954 and 90966, than apply into the LCM equation.

GCF(90954,90966) = 6
LCM(90954,90966) = ( 90954 × 90966) / 6
LCM(90954,90966) = 8273721564 / 6
LCM(90954,90966) = 1378953594

Least Common Multiple (LCM) of 90954 and 90966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90954 and 90966. First we will calculate the prime factors of 90954 and 90966.

Prime Factorization of 90954

Prime Factorization of 90966

Now multiplying the highest exponent prime factors to calculate the LCM of 90954 and 90966.

LCM(90954,90966) = 2¹ × 3² × 31¹ × 163¹ × 15161¹
LCM(90954,90966) = 1378953594