What is the Least Common Multiple of 7083 and 7098?

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 7083 and 7098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7083 and 7098, than apply into the LCM equation.

GCF(7083,7098) = 3
LCM(7083,7098) = ( 7083 × 7098) / 3
LCM(7083,7098) = 50275134 / 3
LCM(7083,7098) = 16758378

Least Common Multiple (LCM) of 7083 and 7098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7083 and 7098. First we will calculate the prime factors of 7083 and 7098.

Prime Factorization of 7083

Prime Factorization of 7098

Now multiplying the highest exponent prime factors to calculate the LCM of 7083 and 7098.

LCM(7083,7098) = 3² × 787¹ × 2¹ × 7¹ × 13²
LCM(7083,7098) = 16758378