What is the Least Common Multiple of 27954 and 27966?

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 27954 and 27966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27954 and 27966, than apply into the LCM equation.

GCF(27954,27966) = 6
LCM(27954,27966) = ( 27954 × 27966) / 6
LCM(27954,27966) = 781761564 / 6
LCM(27954,27966) = 130293594

Least Common Multiple (LCM) of 27954 and 27966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27954 and 27966. First we will calculate the prime factors of 27954 and 27966.

Prime Factorization of 27954

Prime Factorization of 27966

Now multiplying the highest exponent prime factors to calculate the LCM of 27954 and 27966.

LCM(27954,27966) = 2¹ × 3² × 1553¹ × 59¹ × 79¹
LCM(27954,27966) = 130293594