What is the Least Common Multiple of 69804 and 69816?

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 69804 and 69816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69804 and 69816, than apply into the LCM equation.

GCF(69804,69816) = 12
LCM(69804,69816) = ( 69804 × 69816) / 12
LCM(69804,69816) = 4873436064 / 12
LCM(69804,69816) = 406119672

Least Common Multiple (LCM) of 69804 and 69816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69804 and 69816. First we will calculate the prime factors of 69804 and 69816.

Prime Factorization of 69804

Prime Factorization of 69816

Now multiplying the highest exponent prime factors to calculate the LCM of 69804 and 69816.

LCM(69804,69816) = 2³ × 3² × 7¹ × 277¹ × 2909¹
LCM(69804,69816) = 406119672