What is the Least Common Multiple of 82540 and 82550?

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 82540 and 82550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82540 and 82550, than apply into the LCM equation.

GCF(82540,82550) = 10
LCM(82540,82550) = ( 82540 × 82550) / 10
LCM(82540,82550) = 6813677000 / 10
LCM(82540,82550) = 681367700

Least Common Multiple (LCM) of 82540 and 82550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82540 and 82550. First we will calculate the prime factors of 82540 and 82550.

Prime Factorization of 82540

Prime Factorization of 82550

Now multiplying the highest exponent prime factors to calculate the LCM of 82540 and 82550.

LCM(82540,82550) = 2² × 5² × 4127¹ × 13¹ × 127¹
LCM(82540,82550) = 681367700