What is the Least Common Multiple of 69525 and 69543?

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 69525 and 69543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69525 and 69543, than apply into the LCM equation.

GCF(69525,69543) = 9
LCM(69525,69543) = ( 69525 × 69543) / 9
LCM(69525,69543) = 4834977075 / 9
LCM(69525,69543) = 537219675

Least Common Multiple (LCM) of 69525 and 69543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69525 and 69543. First we will calculate the prime factors of 69525 and 69543.

Prime Factorization of 69525

Prime Factorization of 69543

Now multiplying the highest exponent prime factors to calculate the LCM of 69525 and 69543.

LCM(69525,69543) = 3³ × 5² × 103¹ × 7727¹
LCM(69525,69543) = 537219675