What is the Least Common Multiple of 76335 and 76343?

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 76335 and 76343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76335 and 76343, than apply into the LCM equation.

GCF(76335,76343) = 1
LCM(76335,76343) = ( 76335 × 76343) / 1
LCM(76335,76343) = 5827642905 / 1
LCM(76335,76343) = 5827642905

Least Common Multiple (LCM) of 76335 and 76343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76335 and 76343. First we will calculate the prime factors of 76335 and 76343.

Prime Factorization of 76335

Prime Factorization of 76343

Now multiplying the highest exponent prime factors to calculate the LCM of 76335 and 76343.

LCM(76335,76343) = 3¹ × 5¹ × 7¹ × 727¹ × 76343¹
LCM(76335,76343) = 5827642905