What is the Least Common Multiple of 35523 and 35540?

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 35523 and 35540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35523 and 35540, than apply into the LCM equation.

GCF(35523,35540) = 1
LCM(35523,35540) = ( 35523 × 35540) / 1
LCM(35523,35540) = 1262487420 / 1
LCM(35523,35540) = 1262487420

Least Common Multiple (LCM) of 35523 and 35540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35523 and 35540. First we will calculate the prime factors of 35523 and 35540.

Prime Factorization of 35523

Prime Factorization of 35540

Now multiplying the highest exponent prime factors to calculate the LCM of 35523 and 35540.

LCM(35523,35540) = 3² × 3947¹ × 2² × 5¹ × 1777¹
LCM(35523,35540) = 1262487420