What is the Least Common Multiple of 82074 and 82083?

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 82074 and 82083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82074 and 82083, than apply into the LCM equation.

GCF(82074,82083) = 3
LCM(82074,82083) = ( 82074 × 82083) / 3
LCM(82074,82083) = 6736880142 / 3
LCM(82074,82083) = 2245626714

Least Common Multiple (LCM) of 82074 and 82083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82074 and 82083. First we will calculate the prime factors of 82074 and 82083.

Prime Factorization of 82074

Prime Factorization of 82083

Now multiplying the highest exponent prime factors to calculate the LCM of 82074 and 82083.

LCM(82074,82083) = 2¹ × 3¹ × 13679¹ × 27361¹
LCM(82074,82083) = 2245626714