What is the Least Common Multiple of 31535 and 31549?

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 31535 and 31549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31535 and 31549, than apply into the LCM equation.

GCF(31535,31549) = 7
LCM(31535,31549) = ( 31535 × 31549) / 7
LCM(31535,31549) = 994897715 / 7
LCM(31535,31549) = 142128245

Least Common Multiple (LCM) of 31535 and 31549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31535 and 31549. First we will calculate the prime factors of 31535 and 31549.

Prime Factorization of 31535

Prime Factorization of 31549

Now multiplying the highest exponent prime factors to calculate the LCM of 31535 and 31549.

LCM(31535,31549) = 5¹ × 7¹ × 17¹ × 53¹ × 4507¹
LCM(31535,31549) = 142128245