What is the Least Common Multiple of 92589 and 92608?

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 92589 and 92608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92589 and 92608, than apply into the LCM equation.

GCF(92589,92608) = 1
LCM(92589,92608) = ( 92589 × 92608) / 1
LCM(92589,92608) = 8574482112 / 1
LCM(92589,92608) = 8574482112

Least Common Multiple (LCM) of 92589 and 92608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92589 and 92608. First we will calculate the prime factors of 92589 and 92608.

Prime Factorization of 92589

Prime Factorization of 92608

Now multiplying the highest exponent prime factors to calculate the LCM of 92589 and 92608.

LCM(92589,92608) = 3¹ × 7¹ × 4409¹ × 2⁶ × 1447¹
LCM(92589,92608) = 8574482112