What is the Least Common Multiple of 69216 and 69234?

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 69216 and 69234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69216 and 69234, than apply into the LCM equation.

GCF(69216,69234) = 6
LCM(69216,69234) = ( 69216 × 69234) / 6
LCM(69216,69234) = 4792100544 / 6
LCM(69216,69234) = 798683424

Least Common Multiple (LCM) of 69216 and 69234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69216 and 69234. First we will calculate the prime factors of 69216 and 69234.

Prime Factorization of 69216

Prime Factorization of 69234

Now multiplying the highest exponent prime factors to calculate the LCM of 69216 and 69234.

LCM(69216,69234) = 2⁵ × 3¹ × 7¹ × 103¹ × 11¹ × 1049¹
LCM(69216,69234) = 798683424