What is the Least Common Multiple of 69480 and 69498?

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 69480 and 69498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69480 and 69498, than apply into the LCM equation.

GCF(69480,69498) = 18
LCM(69480,69498) = ( 69480 × 69498) / 18
LCM(69480,69498) = 4828721040 / 18
LCM(69480,69498) = 268262280

Least Common Multiple (LCM) of 69480 and 69498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69480 and 69498. First we will calculate the prime factors of 69480 and 69498.

Prime Factorization of 69480

Prime Factorization of 69498

Now multiplying the highest exponent prime factors to calculate the LCM of 69480 and 69498.

LCM(69480,69498) = 2³ × 3⁵ × 5¹ × 193¹ × 11¹ × 13¹
LCM(69480,69498) = 268262280