What is the Least Common Multiple of 93618 and 93634?

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 93618 and 93634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93618 and 93634, than apply into the LCM equation.

GCF(93618,93634) = 2
LCM(93618,93634) = ( 93618 × 93634) / 2
LCM(93618,93634) = 8765827812 / 2
LCM(93618,93634) = 4382913906

Least Common Multiple (LCM) of 93618 and 93634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93618 and 93634. First we will calculate the prime factors of 93618 and 93634.

Prime Factorization of 93618

Prime Factorization of 93634

Now multiplying the highest exponent prime factors to calculate the LCM of 93618 and 93634.

LCM(93618,93634) = 2¹ × 3² × 7¹ × 743¹ × 46817¹
LCM(93618,93634) = 4382913906