What is the Least Common Multiple of 76900 and 76904?

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 76900 and 76904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76900 and 76904, than apply into the LCM equation.

GCF(76900,76904) = 4
LCM(76900,76904) = ( 76900 × 76904) / 4
LCM(76900,76904) = 5913917600 / 4
LCM(76900,76904) = 1478479400

Least Common Multiple (LCM) of 76900 and 76904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76900 and 76904. First we will calculate the prime factors of 76900 and 76904.

Prime Factorization of 76900

Prime Factorization of 76904

Now multiplying the highest exponent prime factors to calculate the LCM of 76900 and 76904.

LCM(76900,76904) = 2³ × 5² × 769¹ × 9613¹
LCM(76900,76904) = 1478479400