What is the Least Common Multiple of 5514 and 5533?

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 5514 and 5533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5514 and 5533, than apply into the LCM equation.

GCF(5514,5533) = 1
LCM(5514,5533) = ( 5514 × 5533) / 1
LCM(5514,5533) = 30508962 / 1
LCM(5514,5533) = 30508962

Least Common Multiple (LCM) of 5514 and 5533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5514 and 5533. First we will calculate the prime factors of 5514 and 5533.

Prime Factorization of 5514

Prime Factorization of 5533

Now multiplying the highest exponent prime factors to calculate the LCM of 5514 and 5533.

LCM(5514,5533) = 2¹ × 3¹ × 919¹ × 11¹ × 503¹
LCM(5514,5533) = 30508962