What is the Least Common Multiple of 84793 and 84801?

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 84793 and 84801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84793 and 84801, than apply into the LCM equation.

GCF(84793,84801) = 1
LCM(84793,84801) = ( 84793 × 84801) / 1
LCM(84793,84801) = 7190531193 / 1
LCM(84793,84801) = 7190531193

Least Common Multiple (LCM) of 84793 and 84801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84793 and 84801. First we will calculate the prime factors of 84793 and 84801.

Prime Factorization of 84793

Prime Factorization of 84801

Now multiplying the highest exponent prime factors to calculate the LCM of 84793 and 84801.

LCM(84793,84801) = 84793¹ × 3¹ × 23¹ × 1229¹
LCM(84793,84801) = 7190531193