What is the Least Common Multiple of 69324 and 69338?

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 69324 and 69338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69324 and 69338, than apply into the LCM equation.

GCF(69324,69338) = 2
LCM(69324,69338) = ( 69324 × 69338) / 2
LCM(69324,69338) = 4806787512 / 2
LCM(69324,69338) = 2403393756

Least Common Multiple (LCM) of 69324 and 69338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69324 and 69338. First we will calculate the prime factors of 69324 and 69338.

Prime Factorization of 69324

Prime Factorization of 69338

Now multiplying the highest exponent prime factors to calculate the LCM of 69324 and 69338.

LCM(69324,69338) = 2² × 3¹ × 53¹ × 109¹ × 37¹ × 937¹
LCM(69324,69338) = 2403393756