What is the Least Common Multiple of 8946 and 8954?

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 8946 and 8954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8946 and 8954, than apply into the LCM equation.

GCF(8946,8954) = 2
LCM(8946,8954) = ( 8946 × 8954) / 2
LCM(8946,8954) = 80102484 / 2
LCM(8946,8954) = 40051242

Least Common Multiple (LCM) of 8946 and 8954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8946 and 8954. First we will calculate the prime factors of 8946 and 8954.

Prime Factorization of 8946

Prime Factorization of 8954

Now multiplying the highest exponent prime factors to calculate the LCM of 8946 and 8954.

LCM(8946,8954) = 2¹ × 3² × 7¹ × 71¹ × 11² × 37¹
LCM(8946,8954) = 40051242