What is the Least Common Multiple of 71815 and 71835?

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 71815 and 71835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71815 and 71835, than apply into the LCM equation.

GCF(71815,71835) = 5
LCM(71815,71835) = ( 71815 × 71835) / 5
LCM(71815,71835) = 5158830525 / 5
LCM(71815,71835) = 1031766105

Least Common Multiple (LCM) of 71815 and 71835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71815 and 71835. First we will calculate the prime factors of 71815 and 71835.

Prime Factorization of 71815

Prime Factorization of 71835

Now multiplying the highest exponent prime factors to calculate the LCM of 71815 and 71835.

LCM(71815,71835) = 5¹ × 53¹ × 271¹ × 3¹ × 4789¹
LCM(71815,71835) = 1031766105