What is the Least Common Multiple of 78831 and 78835?

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 78831 and 78835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78831 and 78835, than apply into the LCM equation.

GCF(78831,78835) = 1
LCM(78831,78835) = ( 78831 × 78835) / 1
LCM(78831,78835) = 6214641885 / 1
LCM(78831,78835) = 6214641885

Least Common Multiple (LCM) of 78831 and 78835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78831 and 78835. First we will calculate the prime factors of 78831 and 78835.

Prime Factorization of 78831

Prime Factorization of 78835

Now multiplying the highest exponent prime factors to calculate the LCM of 78831 and 78835.

LCM(78831,78835) = 3² × 19¹ × 461¹ × 5¹ × 15767¹
LCM(78831,78835) = 6214641885