What is the Least Common Multiple of 82545 and 82551?

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 82545 and 82551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82545 and 82551, than apply into the LCM equation.

GCF(82545,82551) = 3
LCM(82545,82551) = ( 82545 × 82551) / 3
LCM(82545,82551) = 6814172295 / 3
LCM(82545,82551) = 2271390765

Least Common Multiple (LCM) of 82545 and 82551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82545 and 82551. First we will calculate the prime factors of 82545 and 82551.

Prime Factorization of 82545

Prime Factorization of 82551

Now multiplying the highest exponent prime factors to calculate the LCM of 82545 and 82551.

LCM(82545,82551) = 3¹ × 5¹ × 5503¹ × 7¹ × 3931¹
LCM(82545,82551) = 2271390765