What is the Least Common Multiple of 76825 and 76841?

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 76825 and 76841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76825 and 76841, than apply into the LCM equation.

GCF(76825,76841) = 1
LCM(76825,76841) = ( 76825 × 76841) / 1
LCM(76825,76841) = 5903309825 / 1
LCM(76825,76841) = 5903309825

Least Common Multiple (LCM) of 76825 and 76841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76825 and 76841. First we will calculate the prime factors of 76825 and 76841.

Prime Factorization of 76825

Prime Factorization of 76841

Now multiplying the highest exponent prime factors to calculate the LCM of 76825 and 76841.

LCM(76825,76841) = 5² × 7¹ × 439¹ × 43¹ × 1787¹
LCM(76825,76841) = 5903309825