What is the Least Common Multiple of 69360 and 69364?

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 69360 and 69364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69360 and 69364, than apply into the LCM equation.

GCF(69360,69364) = 4
LCM(69360,69364) = ( 69360 × 69364) / 4
LCM(69360,69364) = 4811087040 / 4
LCM(69360,69364) = 1202771760

Least Common Multiple (LCM) of 69360 and 69364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69360 and 69364. First we will calculate the prime factors of 69360 and 69364.

Prime Factorization of 69360

Prime Factorization of 69364

Now multiplying the highest exponent prime factors to calculate the LCM of 69360 and 69364.

LCM(69360,69364) = 2⁴ × 3¹ × 5¹ × 17² × 17341¹
LCM(69360,69364) = 1202771760