What is the Least Common Multiple of 76784 and 76798?

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 76784 and 76798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76784 and 76798, than apply into the LCM equation.

GCF(76784,76798) = 2
LCM(76784,76798) = ( 76784 × 76798) / 2
LCM(76784,76798) = 5896857632 / 2
LCM(76784,76798) = 2948428816

Least Common Multiple (LCM) of 76784 and 76798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76784 and 76798. First we will calculate the prime factors of 76784 and 76798.

Prime Factorization of 76784

Prime Factorization of 76798

Now multiplying the highest exponent prime factors to calculate the LCM of 76784 and 76798.

LCM(76784,76798) = 2⁴ × 4799¹ × 19¹ × 43¹ × 47¹
LCM(76784,76798) = 2948428816