What is the Least Common Multiple of 84836 and 84853?

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 84836 and 84853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84836 and 84853, than apply into the LCM equation.

GCF(84836,84853) = 1
LCM(84836,84853) = ( 84836 × 84853) / 1
LCM(84836,84853) = 7198589108 / 1
LCM(84836,84853) = 7198589108

Least Common Multiple (LCM) of 84836 and 84853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84836 and 84853. First we will calculate the prime factors of 84836 and 84853.

Prime Factorization of 84836

Prime Factorization of 84853

Now multiplying the highest exponent prime factors to calculate the LCM of 84836 and 84853.

LCM(84836,84853) = 2² × 127¹ × 167¹ × 53¹ × 1601¹
LCM(84836,84853) = 7198589108