What is the Least Common Multiple of 75828 and 75835?

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 75828 and 75835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75828 and 75835, than apply into the LCM equation.

GCF(75828,75835) = 1
LCM(75828,75835) = ( 75828 × 75835) / 1
LCM(75828,75835) = 5750416380 / 1
LCM(75828,75835) = 5750416380

Least Common Multiple (LCM) of 75828 and 75835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75828 and 75835. First we will calculate the prime factors of 75828 and 75835.

Prime Factorization of 75828

Prime Factorization of 75835

Now multiplying the highest exponent prime factors to calculate the LCM of 75828 and 75835.

LCM(75828,75835) = 2² × 3¹ × 71¹ × 89¹ × 5¹ × 29¹ × 523¹
LCM(75828,75835) = 5750416380