What is the Least Common Multiple of 69324 and 69330?

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 69330 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 69330, than apply into the LCM equation.

GCF(69324,69330) = 6
LCM(69324,69330) = ( 69324 × 69330) / 6
LCM(69324,69330) = 4806232920 / 6
LCM(69324,69330) = 801038820

Least Common Multiple (LCM) of 69324 and 69330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69324 and 69330. First we will calculate the prime factors of 69324 and 69330.

Prime Factorization of 69324

Prime Factorization of 69330

Now multiplying the highest exponent prime factors to calculate the LCM of 69324 and 69330.

LCM(69324,69330) = 2² × 3¹ × 53¹ × 109¹ × 5¹ × 2311¹
LCM(69324,69330) = 801038820