What is the Least Common Multiple of 93945 and 93954?

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 93945 and 93954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93945 and 93954, than apply into the LCM equation.

GCF(93945,93954) = 3
LCM(93945,93954) = ( 93945 × 93954) / 3
LCM(93945,93954) = 8826508530 / 3
LCM(93945,93954) = 2942169510

Least Common Multiple (LCM) of 93945 and 93954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93945 and 93954. First we will calculate the prime factors of 93945 and 93954.

Prime Factorization of 93945

Prime Factorization of 93954

Now multiplying the highest exponent prime factors to calculate the LCM of 93945 and 93954.

LCM(93945,93954) = 3¹ × 5¹ × 6263¹ × 2¹ × 7¹ × 2237¹
LCM(93945,93954) = 2942169510