What is the Least Common Multiple of 93625 and 93629?

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 93625 and 93629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93625 and 93629, than apply into the LCM equation.

GCF(93625,93629) = 1
LCM(93625,93629) = ( 93625 × 93629) / 1
LCM(93625,93629) = 8766015125 / 1
LCM(93625,93629) = 8766015125

Least Common Multiple (LCM) of 93625 and 93629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93625 and 93629. First we will calculate the prime factors of 93625 and 93629.

Prime Factorization of 93625

Prime Factorization of 93629

Now multiplying the highest exponent prime factors to calculate the LCM of 93625 and 93629.

LCM(93625,93629) = 5³ × 7¹ × 107¹ × 93629¹
LCM(93625,93629) = 8766015125