What is the Least Common Multiple of 84670 and 84689?

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 84670 and 84689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84670 and 84689, than apply into the LCM equation.

GCF(84670,84689) = 1
LCM(84670,84689) = ( 84670 × 84689) / 1
LCM(84670,84689) = 7170617630 / 1
LCM(84670,84689) = 7170617630

Least Common Multiple (LCM) of 84670 and 84689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84670 and 84689. First we will calculate the prime factors of 84670 and 84689.

Prime Factorization of 84670

Prime Factorization of 84689

Now multiplying the highest exponent prime factors to calculate the LCM of 84670 and 84689.

LCM(84670,84689) = 2¹ × 5¹ × 8467¹ × 11¹ × 7699¹
LCM(84670,84689) = 7170617630