What is the Least Common Multiple of 3514 and 3532?

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 3532 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 3532, than apply into the LCM equation.

GCF(3514,3532) = 2
LCM(3514,3532) = ( 3514 × 3532) / 2
LCM(3514,3532) = 12411448 / 2
LCM(3514,3532) = 6205724

Least Common Multiple (LCM) of 3514 and 3532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3514 and 3532. First we will calculate the prime factors of 3514 and 3532.

Prime Factorization of 3514

Prime Factorization of 3532

Now multiplying the highest exponent prime factors to calculate the LCM of 3514 and 3532.

LCM(3514,3532) = 2² × 7¹ × 251¹ × 883¹
LCM(3514,3532) = 6205724