What is the Least Common Multiple of 32906 and 32913?

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 32906 and 32913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32906 and 32913, than apply into the LCM equation.

GCF(32906,32913) = 1
LCM(32906,32913) = ( 32906 × 32913) / 1
LCM(32906,32913) = 1083035178 / 1
LCM(32906,32913) = 1083035178

Least Common Multiple (LCM) of 32906 and 32913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32906 and 32913. First we will calculate the prime factors of 32906 and 32913.

Prime Factorization of 32906

Prime Factorization of 32913

Now multiplying the highest exponent prime factors to calculate the LCM of 32906 and 32913.

LCM(32906,32913) = 2¹ × 16453¹ × 3³ × 23¹ × 53¹
LCM(32906,32913) = 1083035178