What is the Least Common Multiple of 6090 and 6098?

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 6090 and 6098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6090 and 6098, than apply into the LCM equation.

GCF(6090,6098) = 2
LCM(6090,6098) = ( 6090 × 6098) / 2
LCM(6090,6098) = 37136820 / 2
LCM(6090,6098) = 18568410

Least Common Multiple (LCM) of 6090 and 6098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6090 and 6098. First we will calculate the prime factors of 6090 and 6098.

Prime Factorization of 6090

Prime Factorization of 6098

Now multiplying the highest exponent prime factors to calculate the LCM of 6090 and 6098.

LCM(6090,6098) = 2¹ × 3¹ × 5¹ × 7¹ × 29¹ × 3049¹
LCM(6090,6098) = 18568410