What is the Least Common Multiple of 82552 and 82569?

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 82552 and 82569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82552 and 82569, than apply into the LCM equation.

GCF(82552,82569) = 17
LCM(82552,82569) = ( 82552 × 82569) / 17
LCM(82552,82569) = 6816236088 / 17
LCM(82552,82569) = 400955064

Least Common Multiple (LCM) of 82552 and 82569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82552 and 82569. First we will calculate the prime factors of 82552 and 82569.

Prime Factorization of 82552

Prime Factorization of 82569

Now multiplying the highest exponent prime factors to calculate the LCM of 82552 and 82569.

LCM(82552,82569) = 2³ × 17¹ × 607¹ × 3¹ × 1619¹
LCM(82552,82569) = 400955064