What is the Least Common Multiple of 32058 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 32058 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 32058 and 32077, than apply into the LCM equation.

GCF(32058,32077) = 1
LCM(32058,32077) = ( 32058 × 32077) / 1
LCM(32058,32077) = 1028324466 / 1
LCM(32058,32077) = 1028324466

Least Common Multiple (LCM) of 32058 and 32077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32058 and 32077. First we will calculate the prime factors of 32058 and 32077.

Prime Factorization of 32058

Prime Factorization of 32077

Now multiplying the highest exponent prime factors to calculate the LCM of 32058 and 32077.

LCM(32058,32077) = 2¹ × 3² × 13¹ × 137¹ × 32077¹
LCM(32058,32077) = 1028324466