What is the Least Common Multiple of 69216 and 69222?

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 69222 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 69222, than apply into the LCM equation.

GCF(69216,69222) = 6
LCM(69216,69222) = ( 69216 × 69222) / 6
LCM(69216,69222) = 4791269952 / 6
LCM(69216,69222) = 798544992

Least Common Multiple (LCM) of 69216 and 69222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69216 and 69222. First we will calculate the prime factors of 69216 and 69222.

Prime Factorization of 69216

Prime Factorization of 69222

Now multiplying the highest exponent prime factors to calculate the LCM of 69216 and 69222.

LCM(69216,69222) = 2⁵ × 3¹ × 7¹ × 103¹ × 83¹ × 139¹
LCM(69216,69222) = 798544992