What is the Least Common Multiple of 82076 and 82094?

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 82076 and 82094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82076 and 82094, than apply into the LCM equation.

GCF(82076,82094) = 2
LCM(82076,82094) = ( 82076 × 82094) / 2
LCM(82076,82094) = 6737947144 / 2
LCM(82076,82094) = 3368973572

Least Common Multiple (LCM) of 82076 and 82094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82076 and 82094. First we will calculate the prime factors of 82076 and 82094.

Prime Factorization of 82076

Prime Factorization of 82094

Now multiplying the highest exponent prime factors to calculate the LCM of 82076 and 82094.

LCM(82076,82094) = 2² × 17² × 71¹ × 41047¹
LCM(82076,82094) = 3368973572