What is the Least Common Multiple of 14512 and 14526?

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 14512 and 14526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14512 and 14526, than apply into the LCM equation.

GCF(14512,14526) = 2
LCM(14512,14526) = ( 14512 × 14526) / 2
LCM(14512,14526) = 210801312 / 2
LCM(14512,14526) = 105400656

Least Common Multiple (LCM) of 14512 and 14526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14512 and 14526. First we will calculate the prime factors of 14512 and 14526.

Prime Factorization of 14512

Prime Factorization of 14526

Now multiplying the highest exponent prime factors to calculate the LCM of 14512 and 14526.

LCM(14512,14526) = 2⁴ × 907¹ × 3³ × 269¹
LCM(14512,14526) = 105400656