What is the Least Common Multiple of 69378 and 69384?

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 69378 and 69384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69378 and 69384, than apply into the LCM equation.

GCF(69378,69384) = 6
LCM(69378,69384) = ( 69378 × 69384) / 6
LCM(69378,69384) = 4813723152 / 6
LCM(69378,69384) = 802287192

Least Common Multiple (LCM) of 69378 and 69384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69378 and 69384. First we will calculate the prime factors of 69378 and 69384.

Prime Factorization of 69378

Prime Factorization of 69384

Now multiplying the highest exponent prime factors to calculate the LCM of 69378 and 69384.

LCM(69378,69384) = 2³ × 3¹ × 31¹ × 373¹ × 7² × 59¹
LCM(69378,69384) = 802287192