What is the Least Common Multiple of 76705 and 76721?

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 76705 and 76721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76705 and 76721, than apply into the LCM equation.

GCF(76705,76721) = 1
LCM(76705,76721) = ( 76705 × 76721) / 1
LCM(76705,76721) = 5884884305 / 1
LCM(76705,76721) = 5884884305

Least Common Multiple (LCM) of 76705 and 76721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76705 and 76721. First we will calculate the prime factors of 76705 and 76721.

Prime Factorization of 76705

Prime Factorization of 76721

Now multiplying the highest exponent prime factors to calculate the LCM of 76705 and 76721.

LCM(76705,76721) = 5¹ × 23² × 29¹ × 17¹ × 4513¹
LCM(76705,76721) = 5884884305