What is the Least Common Multiple of 69684 and 69689?

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 69684 and 69689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69684 and 69689, than apply into the LCM equation.

GCF(69684,69689) = 1
LCM(69684,69689) = ( 69684 × 69689) / 1
LCM(69684,69689) = 4856208276 / 1
LCM(69684,69689) = 4856208276

Least Common Multiple (LCM) of 69684 and 69689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69684 and 69689. First we will calculate the prime factors of 69684 and 69689.

Prime Factorization of 69684

Prime Factorization of 69689

Now multiplying the highest exponent prime factors to calculate the LCM of 69684 and 69689.

LCM(69684,69689) = 2² × 3¹ × 5807¹ × 227¹ × 307¹
LCM(69684,69689) = 4856208276