What is the Least Common Multiple of 35024 and 35042?

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 35024 and 35042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35024 and 35042, than apply into the LCM equation.

GCF(35024,35042) = 2
LCM(35024,35042) = ( 35024 × 35042) / 2
LCM(35024,35042) = 1227311008 / 2
LCM(35024,35042) = 613655504

Least Common Multiple (LCM) of 35024 and 35042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35024 and 35042. First we will calculate the prime factors of 35024 and 35042.

Prime Factorization of 35024

Prime Factorization of 35042

Now multiplying the highest exponent prime factors to calculate the LCM of 35024 and 35042.

LCM(35024,35042) = 2⁴ × 11¹ × 199¹ × 7¹ × 2503¹
LCM(35024,35042) = 613655504