What is the Least Common Multiple of 84817 and 84827?

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 84817 and 84827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84817 and 84827, than apply into the LCM equation.

GCF(84817,84827) = 1
LCM(84817,84827) = ( 84817 × 84827) / 1
LCM(84817,84827) = 7194771659 / 1
LCM(84817,84827) = 7194771659

Least Common Multiple (LCM) of 84817 and 84827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84817 and 84827. First we will calculate the prime factors of 84817 and 84827.

Prime Factorization of 84817

Prime Factorization of 84827

Now multiplying the highest exponent prime factors to calculate the LCM of 84817 and 84827.

LCM(84817,84827) = 89¹ × 953¹ × 84827¹
LCM(84817,84827) = 7194771659