What is the Least Common Multiple of 32061 and 32077?

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 32061 and 32077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32061 and 32077, than apply into the LCM equation.

GCF(32061,32077) = 1
LCM(32061,32077) = ( 32061 × 32077) / 1
LCM(32061,32077) = 1028420697 / 1
LCM(32061,32077) = 1028420697

Least Common Multiple (LCM) of 32061 and 32077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32061 and 32077. First we will calculate the prime factors of 32061 and 32077.

Prime Factorization of 32061

Prime Factorization of 32077

Now multiplying the highest exponent prime factors to calculate the LCM of 32061 and 32077.

LCM(32061,32077) = 3¹ × 10687¹ × 32077¹
LCM(32061,32077) = 1028420697