What is the Least Common Multiple of 76287 and 76291?

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 76287 and 76291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76287 and 76291, than apply into the LCM equation.

GCF(76287,76291) = 1
LCM(76287,76291) = ( 76287 × 76291) / 1
LCM(76287,76291) = 5820011517 / 1
LCM(76287,76291) = 5820011517

Least Common Multiple (LCM) of 76287 and 76291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76287 and 76291. First we will calculate the prime factors of 76287 and 76291.

Prime Factorization of 76287

Prime Factorization of 76291

Now multiplying the highest exponent prime factors to calculate the LCM of 76287 and 76291.

LCM(76287,76291) = 3¹ × 59¹ × 431¹ × 23¹ × 31¹ × 107¹
LCM(76287,76291) = 5820011517