What is the Least Common Multiple of 84645 and 84659?

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 84645 and 84659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84645 and 84659, than apply into the LCM equation.

GCF(84645,84659) = 1
LCM(84645,84659) = ( 84645 × 84659) / 1
LCM(84645,84659) = 7165961055 / 1
LCM(84645,84659) = 7165961055

Least Common Multiple (LCM) of 84645 and 84659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84645 and 84659. First we will calculate the prime factors of 84645 and 84659.

Prime Factorization of 84645

Prime Factorization of 84659

Now multiplying the highest exponent prime factors to calculate the LCM of 84645 and 84659.

LCM(84645,84659) = 3⁴ × 5¹ × 11¹ × 19¹ × 84659¹
LCM(84645,84659) = 7165961055