What is the Least Common Multiple of 92589 and 92607?

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 92607 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 92607, than apply into the LCM equation.

GCF(92589,92607) = 3
LCM(92589,92607) = ( 92589 × 92607) / 3
LCM(92589,92607) = 8574389523 / 3
LCM(92589,92607) = 2858129841

Least Common Multiple (LCM) of 92589 and 92607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92589 and 92607. First we will calculate the prime factors of 92589 and 92607.

Prime Factorization of 92589

Prime Factorization of 92607

Now multiplying the highest exponent prime factors to calculate the LCM of 92589 and 92607.

LCM(92589,92607) = 3¹ × 7¹ × 4409¹ × 30869¹
LCM(92589,92607) = 2858129841