What is the Least Common Multiple of 74689 and 74693?

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 74693 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 74693, than apply into the LCM equation.

GCF(74689,74693) = 1
LCM(74689,74693) = ( 74689 × 74693) / 1
LCM(74689,74693) = 5578745477 / 1
LCM(74689,74693) = 5578745477

Least Common Multiple (LCM) of 74689 and 74693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74689 and 74693. First we will calculate the prime factors of 74689 and 74693.

Prime Factorization of 74689

Prime Factorization of 74693

Now multiplying the highest exponent prime factors to calculate the LCM of 74689 and 74693.

LCM(74689,74693) = 19¹ × 3931¹ × 113¹ × 661¹
LCM(74689,74693) = 5578745477