What is the Least Common Multiple of 69561 and 69573?

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 69561 and 69573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69561 and 69573, than apply into the LCM equation.

GCF(69561,69573) = 3
LCM(69561,69573) = ( 69561 × 69573) / 3
LCM(69561,69573) = 4839567453 / 3
LCM(69561,69573) = 1613189151

Least Common Multiple (LCM) of 69561 and 69573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69561 and 69573. First we will calculate the prime factors of 69561 and 69573.

Prime Factorization of 69561

Prime Factorization of 69573

Now multiplying the highest exponent prime factors to calculate the LCM of 69561 and 69573.

LCM(69561,69573) = 3² × 59¹ × 131¹ × 7¹ × 3313¹
LCM(69561,69573) = 1613189151