What is the Least Common Multiple of 76824 and 76835?

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 76824 and 76835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76824 and 76835, than apply into the LCM equation.

GCF(76824,76835) = 11
LCM(76824,76835) = ( 76824 × 76835) / 11
LCM(76824,76835) = 5902772040 / 11
LCM(76824,76835) = 536615640

Least Common Multiple (LCM) of 76824 and 76835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76824 and 76835. First we will calculate the prime factors of 76824 and 76835.

Prime Factorization of 76824

Prime Factorization of 76835

Now multiplying the highest exponent prime factors to calculate the LCM of 76824 and 76835.

LCM(76824,76835) = 2³ × 3² × 11² × 97¹ × 5¹ × 127¹
LCM(76824,76835) = 536615640