What is the Least Common Multiple of 23954 and 23961?

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 23961 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 23961, than apply into the LCM equation.

GCF(23954,23961) = 7
LCM(23954,23961) = ( 23954 × 23961) / 7
LCM(23954,23961) = 573961794 / 7
LCM(23954,23961) = 81994542

Least Common Multiple (LCM) of 23954 and 23961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23954 and 23961. First we will calculate the prime factors of 23954 and 23961.

Prime Factorization of 23954

Prime Factorization of 23961

Now multiplying the highest exponent prime factors to calculate the LCM of 23954 and 23961.

LCM(23954,23961) = 2¹ × 7² × 29¹ × 59¹ × 3¹ × 163¹
LCM(23954,23961) = 81994542