What is the Least Common Multiple of 84082 and 84097?

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 84082 and 84097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84082 and 84097, than apply into the LCM equation.

GCF(84082,84097) = 1
LCM(84082,84097) = ( 84082 × 84097) / 1
LCM(84082,84097) = 7071043954 / 1
LCM(84082,84097) = 7071043954

Least Common Multiple (LCM) of 84082 and 84097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84082 and 84097. First we will calculate the prime factors of 84082 and 84097.

Prime Factorization of 84082

Prime Factorization of 84097

Now multiplying the highest exponent prime factors to calculate the LCM of 84082 and 84097.

LCM(84082,84097) = 2¹ × 17¹ × 2473¹ × 13¹ × 6469¹
LCM(84082,84097) = 7071043954