What is the Least Common Multiple of 84837 and 84845?

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 84837 and 84845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84837 and 84845, than apply into the LCM equation.

GCF(84837,84845) = 1
LCM(84837,84845) = ( 84837 × 84845) / 1
LCM(84837,84845) = 7197995265 / 1
LCM(84837,84845) = 7197995265

Least Common Multiple (LCM) of 84837 and 84845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84837 and 84845. First we will calculate the prime factors of 84837 and 84845.

Prime Factorization of 84837

Prime Factorization of 84845

Now multiplying the highest exponent prime factors to calculate the LCM of 84837 and 84845.

LCM(84837,84845) = 3¹ × 28279¹ × 5¹ × 71¹ × 239¹
LCM(84837,84845) = 7197995265