What is the Least Common Multiple of 35065 and 35077?

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 35065 and 35077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35065 and 35077, than apply into the LCM equation.

GCF(35065,35077) = 1
LCM(35065,35077) = ( 35065 × 35077) / 1
LCM(35065,35077) = 1229975005 / 1
LCM(35065,35077) = 1229975005

Least Common Multiple (LCM) of 35065 and 35077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35065 and 35077. First we will calculate the prime factors of 35065 and 35077.

Prime Factorization of 35065

Prime Factorization of 35077

Now multiplying the highest exponent prime factors to calculate the LCM of 35065 and 35077.

LCM(35065,35077) = 5¹ × 7013¹ × 7¹ × 5011¹
LCM(35065,35077) = 1229975005