What is the Least Common Multiple of 69618 and 69633?

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 69618 and 69633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69618 and 69633, than apply into the LCM equation.

GCF(69618,69633) = 3
LCM(69618,69633) = ( 69618 × 69633) / 3
LCM(69618,69633) = 4847710194 / 3
LCM(69618,69633) = 1615903398

Least Common Multiple (LCM) of 69618 and 69633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69618 and 69633. First we will calculate the prime factors of 69618 and 69633.

Prime Factorization of 69618

Prime Factorization of 69633

Now multiplying the highest exponent prime factors to calculate the LCM of 69618 and 69633.

LCM(69618,69633) = 2¹ × 3³ × 41¹ × 283¹ × 2579¹
LCM(69618,69633) = 1615903398