What is the Least Common Multiple of 84390 and 84409?

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 84390 and 84409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84390 and 84409, than apply into the LCM equation.

GCF(84390,84409) = 1
LCM(84390,84409) = ( 84390 × 84409) / 1
LCM(84390,84409) = 7123275510 / 1
LCM(84390,84409) = 7123275510

Least Common Multiple (LCM) of 84390 and 84409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84390 and 84409. First we will calculate the prime factors of 84390 and 84409.

Prime Factorization of 84390

Prime Factorization of 84409

Now multiplying the highest exponent prime factors to calculate the LCM of 84390 and 84409.

LCM(84390,84409) = 2¹ × 3¹ × 5¹ × 29¹ × 97¹ × 13¹ × 43¹ × 151¹
LCM(84390,84409) = 7123275510