What is the Least Common Multiple of 16514 and 16534?

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 16514 and 16534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16514 and 16534, than apply into the LCM equation.

GCF(16514,16534) = 2
LCM(16514,16534) = ( 16514 × 16534) / 2
LCM(16514,16534) = 273042476 / 2
LCM(16514,16534) = 136521238

Least Common Multiple (LCM) of 16514 and 16534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16514 and 16534. First we will calculate the prime factors of 16514 and 16534.

Prime Factorization of 16514

Prime Factorization of 16534

Now multiplying the highest exponent prime factors to calculate the LCM of 16514 and 16534.

LCM(16514,16534) = 2¹ × 23¹ × 359¹ × 7¹ × 1181¹
LCM(16514,16534) = 136521238