What is the Least Common Multiple of 82056 and 82074?

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 82056 and 82074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82056 and 82074, than apply into the LCM equation.

GCF(82056,82074) = 6
LCM(82056,82074) = ( 82056 × 82074) / 6
LCM(82056,82074) = 6734664144 / 6
LCM(82056,82074) = 1122444024

Least Common Multiple (LCM) of 82056 and 82074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82056 and 82074. First we will calculate the prime factors of 82056 and 82074.

Prime Factorization of 82056

Prime Factorization of 82074

Now multiplying the highest exponent prime factors to calculate the LCM of 82056 and 82074.

LCM(82056,82074) = 2³ × 3¹ × 13¹ × 263¹ × 13679¹
LCM(82056,82074) = 1122444024