What is the Least Common Multiple of 74689 and 74709?

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 74689 and 74709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74689 and 74709, than apply into the LCM equation.

GCF(74689,74709) = 1
LCM(74689,74709) = ( 74689 × 74709) / 1
LCM(74689,74709) = 5579940501 / 1
LCM(74689,74709) = 5579940501

Least Common Multiple (LCM) of 74689 and 74709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74689 and 74709. First we will calculate the prime factors of 74689 and 74709.

Prime Factorization of 74689

Prime Factorization of 74709

Now multiplying the highest exponent prime factors to calculate the LCM of 74689 and 74709.

LCM(74689,74709) = 19¹ × 3931¹ × 3³ × 2767¹
LCM(74689,74709) = 5579940501