What is the Least Common Multiple of 35005 and 35024?

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 35005 and 35024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35005 and 35024, than apply into the LCM equation.

GCF(35005,35024) = 1
LCM(35005,35024) = ( 35005 × 35024) / 1
LCM(35005,35024) = 1226015120 / 1
LCM(35005,35024) = 1226015120

Least Common Multiple (LCM) of 35005 and 35024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35005 and 35024. First we will calculate the prime factors of 35005 and 35024.

Prime Factorization of 35005

Prime Factorization of 35024

Now multiplying the highest exponent prime factors to calculate the LCM of 35005 and 35024.

LCM(35005,35024) = 5¹ × 7001¹ × 2⁴ × 11¹ × 199¹
LCM(35005,35024) = 1226015120