What is the Least Common Multiple of 52569 and 52587?

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 52569 and 52587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52569 and 52587, than apply into the LCM equation.

GCF(52569,52587) = 9
LCM(52569,52587) = ( 52569 × 52587) / 9
LCM(52569,52587) = 2764446003 / 9
LCM(52569,52587) = 307160667

Least Common Multiple (LCM) of 52569 and 52587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52569 and 52587. First we will calculate the prime factors of 52569 and 52587.

Prime Factorization of 52569

Prime Factorization of 52587

Now multiplying the highest exponent prime factors to calculate the LCM of 52569 and 52587.

LCM(52569,52587) = 3⁴ × 11¹ × 59¹ × 5843¹
LCM(52569,52587) = 307160667