What is the Least Common Multiple of 32103 and 32112?

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 32103 and 32112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32103 and 32112, than apply into the LCM equation.

GCF(32103,32112) = 9
LCM(32103,32112) = ( 32103 × 32112) / 9
LCM(32103,32112) = 1030891536 / 9
LCM(32103,32112) = 114543504

Least Common Multiple (LCM) of 32103 and 32112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32103 and 32112. First we will calculate the prime factors of 32103 and 32112.

Prime Factorization of 32103

Prime Factorization of 32112

Now multiplying the highest exponent prime factors to calculate the LCM of 32103 and 32112.

LCM(32103,32112) = 3³ × 29¹ × 41¹ × 2⁴ × 223¹
LCM(32103,32112) = 114543504