What is the Least Common Multiple of 19533 and 19550?

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 19533 and 19550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19533 and 19550, than apply into the LCM equation.

GCF(19533,19550) = 17
LCM(19533,19550) = ( 19533 × 19550) / 17
LCM(19533,19550) = 381870150 / 17
LCM(19533,19550) = 22462950

Least Common Multiple (LCM) of 19533 and 19550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19533 and 19550. First we will calculate the prime factors of 19533 and 19550.

Prime Factorization of 19533

Prime Factorization of 19550

Now multiplying the highest exponent prime factors to calculate the LCM of 19533 and 19550.

LCM(19533,19550) = 3¹ × 17¹ × 383¹ × 2¹ × 5² × 23¹
LCM(19533,19550) = 22462950