What is the Least Common Multiple of 53509 and 53526?

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 53509 and 53526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53509 and 53526, than apply into the LCM equation.

GCF(53509,53526) = 1
LCM(53509,53526) = ( 53509 × 53526) / 1
LCM(53509,53526) = 2864122734 / 1
LCM(53509,53526) = 2864122734

Least Common Multiple (LCM) of 53509 and 53526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53509 and 53526. First we will calculate the prime factors of 53509 and 53526.

Prime Factorization of 53509

Prime Factorization of 53526

Now multiplying the highest exponent prime factors to calculate the LCM of 53509 and 53526.

LCM(53509,53526) = 73¹ × 733¹ × 2¹ × 3¹ × 11¹ × 811¹
LCM(53509,53526) = 2864122734