What is the Least Common Multiple of 7098 and 7111?

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 7098 and 7111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7098 and 7111, than apply into the LCM equation.

GCF(7098,7111) = 13
LCM(7098,7111) = ( 7098 × 7111) / 13
LCM(7098,7111) = 50473878 / 13
LCM(7098,7111) = 3882606

Least Common Multiple (LCM) of 7098 and 7111 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7098 and 7111. First we will calculate the prime factors of 7098 and 7111.

Prime Factorization of 7098

Prime Factorization of 7111

Now multiplying the highest exponent prime factors to calculate the LCM of 7098 and 7111.

LCM(7098,7111) = 2¹ × 3¹ × 7¹ × 13² × 547¹
LCM(7098,7111) = 3882606