What is the Least Common Multiple of 69478 and 69496?

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 69478 and 69496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69478 and 69496, than apply into the LCM equation.

GCF(69478,69496) = 2
LCM(69478,69496) = ( 69478 × 69496) / 2
LCM(69478,69496) = 4828443088 / 2
LCM(69478,69496) = 2414221544

Least Common Multiple (LCM) of 69478 and 69496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69478 and 69496. First we will calculate the prime factors of 69478 and 69496.

Prime Factorization of 69478

Prime Factorization of 69496

Now multiplying the highest exponent prime factors to calculate the LCM of 69478 and 69496.

LCM(69478,69496) = 2³ × 34739¹ × 7¹ × 17¹ × 73¹
LCM(69478,69496) = 2414221544