What is the Least Common Multiple of 35540 and 35549?

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 35540 and 35549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35540 and 35549, than apply into the LCM equation.

GCF(35540,35549) = 1
LCM(35540,35549) = ( 35540 × 35549) / 1
LCM(35540,35549) = 1263411460 / 1
LCM(35540,35549) = 1263411460

Least Common Multiple (LCM) of 35540 and 35549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35540 and 35549. First we will calculate the prime factors of 35540 and 35549.

Prime Factorization of 35540

Prime Factorization of 35549

Now multiplying the highest exponent prime factors to calculate the LCM of 35540 and 35549.

LCM(35540,35549) = 2² × 5¹ × 1777¹ × 19¹ × 1871¹
LCM(35540,35549) = 1263411460