What is the Least Common Multiple of 35006 and 35021?

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 35006 and 35021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35006 and 35021, than apply into the LCM equation.

GCF(35006,35021) = 1
LCM(35006,35021) = ( 35006 × 35021) / 1
LCM(35006,35021) = 1225945126 / 1
LCM(35006,35021) = 1225945126

Least Common Multiple (LCM) of 35006 and 35021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35006 and 35021. First we will calculate the prime factors of 35006 and 35021.

Prime Factorization of 35006

Prime Factorization of 35021

Now multiplying the highest exponent prime factors to calculate the LCM of 35006 and 35021.

LCM(35006,35021) = 2¹ × 23¹ × 761¹ × 7¹ × 5003¹
LCM(35006,35021) = 1225945126