What is the Least Common Multiple of 83705 and 83720?

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 83720 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 83720, than apply into the LCM equation.

GCF(83705,83720) = 5
LCM(83705,83720) = ( 83705 × 83720) / 5
LCM(83705,83720) = 7007782600 / 5
LCM(83705,83720) = 1401556520

Least Common Multiple (LCM) of 83705 and 83720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83705 and 83720. First we will calculate the prime factors of 83705 and 83720.

Prime Factorization of 83705

Prime Factorization of 83720

Now multiplying the highest exponent prime factors to calculate the LCM of 83705 and 83720.

LCM(83705,83720) = 5¹ × 16741¹ × 2³ × 7¹ × 13¹ × 23¹
LCM(83705,83720) = 1401556520