What is the Least Common Multiple of 17550 and 17565?

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 17550 and 17565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17550 and 17565, than apply into the LCM equation.

GCF(17550,17565) = 15
LCM(17550,17565) = ( 17550 × 17565) / 15
LCM(17550,17565) = 308265750 / 15
LCM(17550,17565) = 20551050

Least Common Multiple (LCM) of 17550 and 17565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17550 and 17565. First we will calculate the prime factors of 17550 and 17565.

Prime Factorization of 17550

Prime Factorization of 17565

Now multiplying the highest exponent prime factors to calculate the LCM of 17550 and 17565.

LCM(17550,17565) = 2¹ × 3³ × 5² × 13¹ × 1171¹
LCM(17550,17565) = 20551050