What is the Least Common Multiple of 76563 and 76569?

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 76563 and 76569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76563 and 76569, than apply into the LCM equation.

GCF(76563,76569) = 3
LCM(76563,76569) = ( 76563 × 76569) / 3
LCM(76563,76569) = 5862352347 / 3
LCM(76563,76569) = 1954117449

Least Common Multiple (LCM) of 76563 and 76569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76563 and 76569. First we will calculate the prime factors of 76563 and 76569.

Prime Factorization of 76563

Prime Factorization of 76569

Now multiplying the highest exponent prime factors to calculate the LCM of 76563 and 76569.

LCM(76563,76569) = 3² × 47¹ × 181¹ × 25523¹
LCM(76563,76569) = 1954117449