What is the Least Common Multiple of 23954 and 23966?

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 23954 and 23966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23954 and 23966, than apply into the LCM equation.

GCF(23954,23966) = 2
LCM(23954,23966) = ( 23954 × 23966) / 2
LCM(23954,23966) = 574081564 / 2
LCM(23954,23966) = 287040782

Least Common Multiple (LCM) of 23954 and 23966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23954 and 23966. First we will calculate the prime factors of 23954 and 23966.

Prime Factorization of 23954

Prime Factorization of 23966

Now multiplying the highest exponent prime factors to calculate the LCM of 23954 and 23966.

LCM(23954,23966) = 2¹ × 7¹ × 29¹ × 59¹ × 23¹ × 521¹
LCM(23954,23966) = 287040782