What is the Least Common Multiple of 76409 and 76416?

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 76409 and 76416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76409 and 76416, than apply into the LCM equation.

GCF(76409,76416) = 1
LCM(76409,76416) = ( 76409 × 76416) / 1
LCM(76409,76416) = 5838870144 / 1
LCM(76409,76416) = 5838870144

Least Common Multiple (LCM) of 76409 and 76416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76409 and 76416. First we will calculate the prime factors of 76409 and 76416.

Prime Factorization of 76409

Prime Factorization of 76416

Now multiplying the highest exponent prime factors to calculate the LCM of 76409 and 76416.

LCM(76409,76416) = 109¹ × 701¹ × 2⁷ × 3¹ × 199¹
LCM(76409,76416) = 5838870144