What is the Least Common Multiple of 65550 and 65565?

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 65550 and 65565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65550 and 65565, than apply into the LCM equation.

GCF(65550,65565) = 15
LCM(65550,65565) = ( 65550 × 65565) / 15
LCM(65550,65565) = 4297785750 / 15
LCM(65550,65565) = 286519050

Least Common Multiple (LCM) of 65550 and 65565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65550 and 65565. First we will calculate the prime factors of 65550 and 65565.

Prime Factorization of 65550

Prime Factorization of 65565

Now multiplying the highest exponent prime factors to calculate the LCM of 65550 and 65565.

LCM(65550,65565) = 2¹ × 3² × 5² × 19¹ × 23¹ × 31¹ × 47¹
LCM(65550,65565) = 286519050