What is the Least Common Multiple of 35039 and 35045?

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 35039 and 35045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35039 and 35045, than apply into the LCM equation.

GCF(35039,35045) = 1
LCM(35039,35045) = ( 35039 × 35045) / 1
LCM(35039,35045) = 1227941755 / 1
LCM(35039,35045) = 1227941755

Least Common Multiple (LCM) of 35039 and 35045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35039 and 35045. First we will calculate the prime factors of 35039 and 35045.

Prime Factorization of 35039

Prime Factorization of 35045

Now multiplying the highest exponent prime factors to calculate the LCM of 35039 and 35045.

LCM(35039,35045) = 37¹ × 947¹ × 5¹ × 43¹ × 163¹
LCM(35039,35045) = 1227941755