What is the Least Common Multiple of 54586 and 54602?

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 54586 and 54602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54586 and 54602, than apply into the LCM equation.

GCF(54586,54602) = 2
LCM(54586,54602) = ( 54586 × 54602) / 2
LCM(54586,54602) = 2980504772 / 2
LCM(54586,54602) = 1490252386

Least Common Multiple (LCM) of 54586 and 54602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54586 and 54602. First we will calculate the prime factors of 54586 and 54602.

Prime Factorization of 54586

Prime Factorization of 54602

Now multiplying the highest exponent prime factors to calculate the LCM of 54586 and 54602.

LCM(54586,54602) = 2¹ × 7² × 557¹ × 23¹ × 1187¹
LCM(54586,54602) = 1490252386