What is the Least Common Multiple of 35008 and 35023?

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 35008 and 35023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35008 and 35023, than apply into the LCM equation.

GCF(35008,35023) = 1
LCM(35008,35023) = ( 35008 × 35023) / 1
LCM(35008,35023) = 1226085184 / 1
LCM(35008,35023) = 1226085184

Least Common Multiple (LCM) of 35008 and 35023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35008 and 35023. First we will calculate the prime factors of 35008 and 35023.

Prime Factorization of 35008

Prime Factorization of 35023

Now multiplying the highest exponent prime factors to calculate the LCM of 35008 and 35023.

LCM(35008,35023) = 2⁶ × 547¹ × 35023¹
LCM(35008,35023) = 1226085184