What is the Least Common Multiple of 33514 and 33534?

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 33514 and 33534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33514 and 33534, than apply into the LCM equation.

GCF(33514,33534) = 2
LCM(33514,33534) = ( 33514 × 33534) / 2
LCM(33514,33534) = 1123858476 / 2
LCM(33514,33534) = 561929238

Least Common Multiple (LCM) of 33514 and 33534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33514 and 33534. First we will calculate the prime factors of 33514 and 33534.

Prime Factorization of 33514

Prime Factorization of 33534

Now multiplying the highest exponent prime factors to calculate the LCM of 33514 and 33534.

LCM(33514,33534) = 2¹ × 13¹ × 1289¹ × 3⁶ × 23¹
LCM(33514,33534) = 561929238