What is the Least Common Multiple of 84704 and 84714?

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 84704 and 84714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84704 and 84714, than apply into the LCM equation.

GCF(84704,84714) = 2
LCM(84704,84714) = ( 84704 × 84714) / 2
LCM(84704,84714) = 7175614656 / 2
LCM(84704,84714) = 3587807328

Least Common Multiple (LCM) of 84704 and 84714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84704 and 84714. First we will calculate the prime factors of 84704 and 84714.

Prime Factorization of 84704

Prime Factorization of 84714

Now multiplying the highest exponent prime factors to calculate the LCM of 84704 and 84714.

LCM(84704,84714) = 2⁵ × 2647¹ × 3¹ × 7¹ × 2017¹
LCM(84704,84714) = 3587807328