What is the Least Common Multiple of 69588 and 69594?

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 69588 and 69594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69588 and 69594, than apply into the LCM equation.

GCF(69588,69594) = 6
LCM(69588,69594) = ( 69588 × 69594) / 6
LCM(69588,69594) = 4842907272 / 6
LCM(69588,69594) = 807151212

Least Common Multiple (LCM) of 69588 and 69594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69588 and 69594. First we will calculate the prime factors of 69588 and 69594.

Prime Factorization of 69588

Prime Factorization of 69594

Now multiplying the highest exponent prime factors to calculate the LCM of 69588 and 69594.

LCM(69588,69594) = 2² × 3² × 1933¹ × 7¹ × 1657¹
LCM(69588,69594) = 807151212