What is the Least Common Multiple of 3523 and 3540?

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 3523 and 3540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3523 and 3540, than apply into the LCM equation.

GCF(3523,3540) = 1
LCM(3523,3540) = ( 3523 × 3540) / 1
LCM(3523,3540) = 12471420 / 1
LCM(3523,3540) = 12471420

Least Common Multiple (LCM) of 3523 and 3540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3523 and 3540. First we will calculate the prime factors of 3523 and 3540.

Prime Factorization of 3523

Prime Factorization of 3540

Now multiplying the highest exponent prime factors to calculate the LCM of 3523 and 3540.

LCM(3523,3540) = 13¹ × 271¹ × 2² × 3¹ × 5¹ × 59¹
LCM(3523,3540) = 12471420