What is the Least Common Multiple of 32106 and 32117?

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 32106 and 32117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32106 and 32117, than apply into the LCM equation.

GCF(32106,32117) = 1
LCM(32106,32117) = ( 32106 × 32117) / 1
LCM(32106,32117) = 1031148402 / 1
LCM(32106,32117) = 1031148402

Least Common Multiple (LCM) of 32106 and 32117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32106 and 32117. First we will calculate the prime factors of 32106 and 32117.

Prime Factorization of 32106

Prime Factorization of 32117

Now multiplying the highest exponent prime factors to calculate the LCM of 32106 and 32117.

LCM(32106,32117) = 2¹ × 3¹ × 5351¹ × 32117¹
LCM(32106,32117) = 1031148402