What is the Least Common Multiple of 92505 and 92520?

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 92505 and 92520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92505 and 92520, than apply into the LCM equation.

GCF(92505,92520) = 15
LCM(92505,92520) = ( 92505 × 92520) / 15
LCM(92505,92520) = 8558562600 / 15
LCM(92505,92520) = 570570840

Least Common Multiple (LCM) of 92505 and 92520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92505 and 92520. First we will calculate the prime factors of 92505 and 92520.

Prime Factorization of 92505

Prime Factorization of 92520

Now multiplying the highest exponent prime factors to calculate the LCM of 92505 and 92520.

LCM(92505,92520) = 3² × 5¹ × 7¹ × 881¹ × 2³ × 257¹
LCM(92505,92520) = 570570840