What is the Least Common Multiple of 1590 and 1598?

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 1590 and 1598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1590 and 1598, than apply into the LCM equation.

GCF(1590,1598) = 2
LCM(1590,1598) = ( 1590 × 1598) / 2
LCM(1590,1598) = 2540820 / 2
LCM(1590,1598) = 1270410

Least Common Multiple (LCM) of 1590 and 1598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1590 and 1598. First we will calculate the prime factors of 1590 and 1598.

Prime Factorization of 1590

Prime Factorization of 1598

Now multiplying the highest exponent prime factors to calculate the LCM of 1590 and 1598.

LCM(1590,1598) = 2¹ × 3¹ × 5¹ × 53¹ × 17¹ × 47¹
LCM(1590,1598) = 1270410