What is the Least Common Multiple of 69814 and 69832?

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 69814 and 69832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69814 and 69832, than apply into the LCM equation.

GCF(69814,69832) = 2
LCM(69814,69832) = ( 69814 × 69832) / 2
LCM(69814,69832) = 4875251248 / 2
LCM(69814,69832) = 2437625624

Least Common Multiple (LCM) of 69814 and 69832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69814 and 69832. First we will calculate the prime factors of 69814 and 69832.

Prime Factorization of 69814

Prime Factorization of 69832

Now multiplying the highest exponent prime factors to calculate the LCM of 69814 and 69832.

LCM(69814,69832) = 2³ × 67¹ × 521¹ × 7¹ × 29¹ × 43¹
LCM(69814,69832) = 2437625624