What is the Least Common Multiple of 69360 and 69374?

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 69374 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 69374, than apply into the LCM equation.

GCF(69360,69374) = 2
LCM(69360,69374) = ( 69360 × 69374) / 2
LCM(69360,69374) = 4811780640 / 2
LCM(69360,69374) = 2405890320

Least Common Multiple (LCM) of 69360 and 69374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69360 and 69374. First we will calculate the prime factors of 69360 and 69374.

Prime Factorization of 69360

Prime Factorization of 69374

Now multiplying the highest exponent prime factors to calculate the LCM of 69360 and 69374.

LCM(69360,69374) = 2⁴ × 3¹ × 5¹ × 17² × 34687¹
LCM(69360,69374) = 2405890320