What is the Least Common Multiple of 83705 and 83721?

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 83705 and 83721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83705 and 83721, than apply into the LCM equation.

GCF(83705,83721) = 1
LCM(83705,83721) = ( 83705 × 83721) / 1
LCM(83705,83721) = 7007866305 / 1
LCM(83705,83721) = 7007866305

Least Common Multiple (LCM) of 83705 and 83721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83705 and 83721. First we will calculate the prime factors of 83705 and 83721.

Prime Factorization of 83705

Prime Factorization of 83721

Now multiplying the highest exponent prime factors to calculate the LCM of 83705 and 83721.

LCM(83705,83721) = 5¹ × 16741¹ × 3¹ × 11¹ × 43¹ × 59¹
LCM(83705,83721) = 7007866305