What is the Least Common Multiple of 93945 and 93960?

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 93960 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 93960, than apply into the LCM equation.

GCF(93945,93960) = 15
LCM(93945,93960) = ( 93945 × 93960) / 15
LCM(93945,93960) = 8827072200 / 15
LCM(93945,93960) = 588471480

Least Common Multiple (LCM) of 93945 and 93960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93945 and 93960. First we will calculate the prime factors of 93945 and 93960.

Prime Factorization of 93945

Prime Factorization of 93960

Now multiplying the highest exponent prime factors to calculate the LCM of 93945 and 93960.

LCM(93945,93960) = 3⁴ × 5¹ × 6263¹ × 2³ × 29¹
LCM(93945,93960) = 588471480