What is the Least Common Multiple of 14514 and 14534?

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 14514 and 14534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14514 and 14534, than apply into the LCM equation.

GCF(14514,14534) = 2
LCM(14514,14534) = ( 14514 × 14534) / 2
LCM(14514,14534) = 210946476 / 2
LCM(14514,14534) = 105473238

Least Common Multiple (LCM) of 14514 and 14534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14514 and 14534. First we will calculate the prime factors of 14514 and 14534.

Prime Factorization of 14514

Prime Factorization of 14534

Now multiplying the highest exponent prime factors to calculate the LCM of 14514 and 14534.

LCM(14514,14534) = 2¹ × 3¹ × 41¹ × 59¹ × 13² × 43¹
LCM(14514,14534) = 105473238