What is the Least Common Multiple of 69792 and 69807?

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 69792 and 69807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69792 and 69807, than apply into the LCM equation.

GCF(69792,69807) = 3
LCM(69792,69807) = ( 69792 × 69807) / 3
LCM(69792,69807) = 4871970144 / 3
LCM(69792,69807) = 1623990048

Least Common Multiple (LCM) of 69792 and 69807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69792 and 69807. First we will calculate the prime factors of 69792 and 69807.

Prime Factorization of 69792

Prime Factorization of 69807

Now multiplying the highest exponent prime factors to calculate the LCM of 69792 and 69807.

LCM(69792,69807) = 2⁵ × 3¹ × 727¹ × 23269¹
LCM(69792,69807) = 1623990048