What is the Least Common Multiple of 69480 and 69490?

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 69490 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 69490, than apply into the LCM equation.

GCF(69480,69490) = 10
LCM(69480,69490) = ( 69480 × 69490) / 10
LCM(69480,69490) = 4828165200 / 10
LCM(69480,69490) = 482816520

Least Common Multiple (LCM) of 69480 and 69490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69480 and 69490. First we will calculate the prime factors of 69480 and 69490.

Prime Factorization of 69480

Prime Factorization of 69490

Now multiplying the highest exponent prime factors to calculate the LCM of 69480 and 69490.

LCM(69480,69490) = 2³ × 3² × 5¹ × 193¹ × 6949¹
LCM(69480,69490) = 482816520