What is the Least Common Multiple of 69786 and 69793?

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 69786 and 69793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69786 and 69793, than apply into the LCM equation.

GCF(69786,69793) = 1
LCM(69786,69793) = ( 69786 × 69793) / 1
LCM(69786,69793) = 4870574298 / 1
LCM(69786,69793) = 4870574298

Least Common Multiple (LCM) of 69786 and 69793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69786 and 69793. First we will calculate the prime factors of 69786 and 69793.

Prime Factorization of 69786

Prime Factorization of 69793

Now multiplying the highest exponent prime factors to calculate the LCM of 69786 and 69793.

LCM(69786,69793) = 2¹ × 3² × 3877¹ × 71¹ × 983¹
LCM(69786,69793) = 4870574298