What is the Least Common Multiple of 3514 and 3521?

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 3514 and 3521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3514 and 3521, than apply into the LCM equation.

GCF(3514,3521) = 7
LCM(3514,3521) = ( 3514 × 3521) / 7
LCM(3514,3521) = 12372794 / 7
LCM(3514,3521) = 1767542

Least Common Multiple (LCM) of 3514 and 3521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3514 and 3521. First we will calculate the prime factors of 3514 and 3521.

Prime Factorization of 3514

Prime Factorization of 3521

Now multiplying the highest exponent prime factors to calculate the LCM of 3514 and 3521.

LCM(3514,3521) = 2¹ × 7¹ × 251¹ × 503¹
LCM(3514,3521) = 1767542