What is the Least Common Multiple of 58545 and 58562?

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 58545 and 58562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58545 and 58562, than apply into the LCM equation.

GCF(58545,58562) = 1
LCM(58545,58562) = ( 58545 × 58562) / 1
LCM(58545,58562) = 3428512290 / 1
LCM(58545,58562) = 3428512290

Least Common Multiple (LCM) of 58545 and 58562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58545 and 58562. First we will calculate the prime factors of 58545 and 58562.

Prime Factorization of 58545

Prime Factorization of 58562

Now multiplying the highest exponent prime factors to calculate the LCM of 58545 and 58562.

LCM(58545,58562) = 3² × 5¹ × 1301¹ × 2¹ × 7¹ × 47¹ × 89¹
LCM(58545,58562) = 3428512290