What is the Least Common Multiple of 82822 and 82840?

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 82822 and 82840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82822 and 82840, than apply into the LCM equation.

GCF(82822,82840) = 2
LCM(82822,82840) = ( 82822 × 82840) / 2
LCM(82822,82840) = 6860974480 / 2
LCM(82822,82840) = 3430487240

Least Common Multiple (LCM) of 82822 and 82840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82822 and 82840. First we will calculate the prime factors of 82822 and 82840.

Prime Factorization of 82822

Prime Factorization of 82840

Now multiplying the highest exponent prime factors to calculate the LCM of 82822 and 82840.

LCM(82822,82840) = 2³ × 41411¹ × 5¹ × 19¹ × 109¹
LCM(82822,82840) = 3430487240