What is the Least Common Multiple of 35240 and 35249?

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 35240 and 35249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35240 and 35249, than apply into the LCM equation.

GCF(35240,35249) = 1
LCM(35240,35249) = ( 35240 × 35249) / 1
LCM(35240,35249) = 1242174760 / 1
LCM(35240,35249) = 1242174760

Least Common Multiple (LCM) of 35240 and 35249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35240 and 35249. First we will calculate the prime factors of 35240 and 35249.

Prime Factorization of 35240

Prime Factorization of 35249

Now multiplying the highest exponent prime factors to calculate the LCM of 35240 and 35249.

LCM(35240,35249) = 2³ × 5¹ × 881¹ × 101¹ × 349¹
LCM(35240,35249) = 1242174760