What is the Least Common Multiple of 39015 and 39035?

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 39015 and 39035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39015 and 39035, than apply into the LCM equation.

GCF(39015,39035) = 5
LCM(39015,39035) = ( 39015 × 39035) / 5
LCM(39015,39035) = 1522950525 / 5
LCM(39015,39035) = 304590105

Least Common Multiple (LCM) of 39015 and 39035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39015 and 39035. First we will calculate the prime factors of 39015 and 39035.

Prime Factorization of 39015

Prime Factorization of 39035

Now multiplying the highest exponent prime factors to calculate the LCM of 39015 and 39035.

LCM(39015,39035) = 3³ × 5¹ × 17² × 37¹ × 211¹
LCM(39015,39035) = 304590105