What is the Least Common Multiple of 1511 and 1526?

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 1511 and 1526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1511 and 1526, than apply into the LCM equation.

GCF(1511,1526) = 1
LCM(1511,1526) = ( 1511 × 1526) / 1
LCM(1511,1526) = 2305786 / 1
LCM(1511,1526) = 2305786

Least Common Multiple (LCM) of 1511 and 1526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1511 and 1526. First we will calculate the prime factors of 1511 and 1526.

Prime Factorization of 1511

Prime Factorization of 1526

Now multiplying the highest exponent prime factors to calculate the LCM of 1511 and 1526.

LCM(1511,1526) = 1511¹ × 2¹ × 7¹ × 109¹
LCM(1511,1526) = 2305786