What is the Least Common Multiple of 75945 and 75954?

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 75945 and 75954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75945 and 75954, than apply into the LCM equation.

GCF(75945,75954) = 3
LCM(75945,75954) = ( 75945 × 75954) / 3
LCM(75945,75954) = 5768326530 / 3
LCM(75945,75954) = 1922775510

Least Common Multiple (LCM) of 75945 and 75954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75945 and 75954. First we will calculate the prime factors of 75945 and 75954.

Prime Factorization of 75945

Prime Factorization of 75954

Now multiplying the highest exponent prime factors to calculate the LCM of 75945 and 75954.

LCM(75945,75954) = 3¹ × 5¹ × 61¹ × 83¹ × 2¹ × 12659¹
LCM(75945,75954) = 1922775510