What is the Least Common Multiple of 76408 and 76421?

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 76408 and 76421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76408 and 76421, than apply into the LCM equation.

GCF(76408,76421) = 1
LCM(76408,76421) = ( 76408 × 76421) / 1
LCM(76408,76421) = 5839175768 / 1
LCM(76408,76421) = 5839175768

Least Common Multiple (LCM) of 76408 and 76421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76408 and 76421. First we will calculate the prime factors of 76408 and 76421.

Prime Factorization of 76408

Prime Factorization of 76421

Now multiplying the highest exponent prime factors to calculate the LCM of 76408 and 76421.

LCM(76408,76421) = 2³ × 9551¹ × 76421¹
LCM(76408,76421) = 5839175768