What is the Least Common Multiple of 83946 and 83960?

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 83946 and 83960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83946 and 83960, than apply into the LCM equation.

GCF(83946,83960) = 2
LCM(83946,83960) = ( 83946 × 83960) / 2
LCM(83946,83960) = 7048106160 / 2
LCM(83946,83960) = 3524053080

Least Common Multiple (LCM) of 83946 and 83960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83946 and 83960. First we will calculate the prime factors of 83946 and 83960.

Prime Factorization of 83946

Prime Factorization of 83960

Now multiplying the highest exponent prime factors to calculate the LCM of 83946 and 83960.

LCM(83946,83960) = 2³ × 3¹ × 17¹ × 823¹ × 5¹ × 2099¹
LCM(83946,83960) = 3524053080