What is the Least Common Multiple of 78480 and 78496?

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 78480 and 78496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78480 and 78496, than apply into the LCM equation.

GCF(78480,78496) = 16
LCM(78480,78496) = ( 78480 × 78496) / 16
LCM(78480,78496) = 6160366080 / 16
LCM(78480,78496) = 385022880

Least Common Multiple (LCM) of 78480 and 78496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78480 and 78496. First we will calculate the prime factors of 78480 and 78496.

Prime Factorization of 78480

Prime Factorization of 78496

Now multiplying the highest exponent prime factors to calculate the LCM of 78480 and 78496.

LCM(78480,78496) = 2⁵ × 3² × 5¹ × 109¹ × 11¹ × 223¹
LCM(78480,78496) = 385022880