What is the Least Common Multiple of 83946 and 83963?

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 83963 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 83963, than apply into the LCM equation.

GCF(83946,83963) = 17
LCM(83946,83963) = ( 83946 × 83963) / 17
LCM(83946,83963) = 7048357998 / 17
LCM(83946,83963) = 414609294

Least Common Multiple (LCM) of 83946 and 83963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83946 and 83963. First we will calculate the prime factors of 83946 and 83963.

Prime Factorization of 83946

Prime Factorization of 83963

Now multiplying the highest exponent prime factors to calculate the LCM of 83946 and 83963.

LCM(83946,83963) = 2¹ × 3¹ × 17¹ × 823¹ × 11¹ × 449¹
LCM(83946,83963) = 414609294