What is the Least Common Multiple of 93609 and 93625?

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 93609 and 93625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93609 and 93625, than apply into the LCM equation.

GCF(93609,93625) = 1
LCM(93609,93625) = ( 93609 × 93625) / 1
LCM(93609,93625) = 8764142625 / 1
LCM(93609,93625) = 8764142625

Least Common Multiple (LCM) of 93609 and 93625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93609 and 93625. First we will calculate the prime factors of 93609 and 93625.

Prime Factorization of 93609

Prime Factorization of 93625

Now multiplying the highest exponent prime factors to calculate the LCM of 93609 and 93625.

LCM(93609,93625) = 3³ × 3467¹ × 5³ × 7¹ × 107¹
LCM(93609,93625) = 8764142625