What is the Least Common Multiple of 19514 and 19533?

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 19514 and 19533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19514 and 19533, than apply into the LCM equation.

GCF(19514,19533) = 1
LCM(19514,19533) = ( 19514 × 19533) / 1
LCM(19514,19533) = 381166962 / 1
LCM(19514,19533) = 381166962

Least Common Multiple (LCM) of 19514 and 19533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19514 and 19533. First we will calculate the prime factors of 19514 and 19533.

Prime Factorization of 19514

Prime Factorization of 19533

Now multiplying the highest exponent prime factors to calculate the LCM of 19514 and 19533.

LCM(19514,19533) = 2¹ × 11¹ × 887¹ × 3¹ × 17¹ × 383¹
LCM(19514,19533) = 381166962