What is the Least Common Multiple of 1488 and 1507?

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 1488 and 1507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1488 and 1507, than apply into the LCM equation.

GCF(1488,1507) = 1
LCM(1488,1507) = ( 1488 × 1507) / 1
LCM(1488,1507) = 2242416 / 1
LCM(1488,1507) = 2242416

Least Common Multiple (LCM) of 1488 and 1507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1488 and 1507. First we will calculate the prime factors of 1488 and 1507.

Prime Factorization of 1488

Prime Factorization of 1507

Now multiplying the highest exponent prime factors to calculate the LCM of 1488 and 1507.

LCM(1488,1507) = 2⁴ × 3¹ × 31¹ × 11¹ × 137¹
LCM(1488,1507) = 2242416