What is the Least Common Multiple of 3514 and 3531?

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 3531 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 3531, than apply into the LCM equation.

GCF(3514,3531) = 1
LCM(3514,3531) = ( 3514 × 3531) / 1
LCM(3514,3531) = 12407934 / 1
LCM(3514,3531) = 12407934

Least Common Multiple (LCM) of 3514 and 3531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3514 and 3531. First we will calculate the prime factors of 3514 and 3531.

Prime Factorization of 3514

Prime Factorization of 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 3514 and 3531.

LCM(3514,3531) = 2¹ × 7¹ × 251¹ × 3¹ × 11¹ × 107¹
LCM(3514,3531) = 12407934