What is the Least Common Multiple of 76832 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 76832 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 76832 and 76841, than apply into the LCM equation.

GCF(76832,76841) = 1
LCM(76832,76841) = ( 76832 × 76841) / 1
LCM(76832,76841) = 5903847712 / 1
LCM(76832,76841) = 5903847712

Least Common Multiple (LCM) of 76832 and 76841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76832 and 76841. First we will calculate the prime factors of 76832 and 76841.

Prime Factorization of 76832

Prime Factorization of 76841

Now multiplying the highest exponent prime factors to calculate the LCM of 76832 and 76841.

LCM(76832,76841) = 2⁵ × 7⁴ × 43¹ × 1787¹
LCM(76832,76841) = 5903847712