What is the Least Common Multiple of 32015 and 32035?

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 32015 and 32035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32015 and 32035, than apply into the LCM equation.

GCF(32015,32035) = 5
LCM(32015,32035) = ( 32015 × 32035) / 5
LCM(32015,32035) = 1025600525 / 5
LCM(32015,32035) = 205120105

Least Common Multiple (LCM) of 32015 and 32035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32015 and 32035. First we will calculate the prime factors of 32015 and 32035.

Prime Factorization of 32015

Prime Factorization of 32035

Now multiplying the highest exponent prime factors to calculate the LCM of 32015 and 32035.

LCM(32015,32035) = 5¹ × 19¹ × 337¹ × 43¹ × 149¹
LCM(32015,32035) = 205120105