What is the Least Common Multiple of 35019 and 35035?

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 35019 and 35035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35019 and 35035, than apply into the LCM equation.

GCF(35019,35035) = 1
LCM(35019,35035) = ( 35019 × 35035) / 1
LCM(35019,35035) = 1226890665 / 1
LCM(35019,35035) = 1226890665

Least Common Multiple (LCM) of 35019 and 35035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35019 and 35035. First we will calculate the prime factors of 35019 and 35035.

Prime Factorization of 35019

Prime Factorization of 35035

Now multiplying the highest exponent prime factors to calculate the LCM of 35019 and 35035.

LCM(35019,35035) = 3³ × 1297¹ × 5¹ × 7² × 11¹ × 13¹
LCM(35019,35035) = 1226890665