What is the Least Common Multiple of 1470 and 1488?

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 1470 and 1488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1470 and 1488, than apply into the LCM equation.

GCF(1470,1488) = 6
LCM(1470,1488) = ( 1470 × 1488) / 6
LCM(1470,1488) = 2187360 / 6
LCM(1470,1488) = 364560

Least Common Multiple (LCM) of 1470 and 1488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1470 and 1488. First we will calculate the prime factors of 1470 and 1488.

Prime Factorization of 1470

Prime Factorization of 1488

Now multiplying the highest exponent prime factors to calculate the LCM of 1470 and 1488.

LCM(1470,1488) = 2⁴ × 3¹ × 5¹ × 7² × 31¹
LCM(1470,1488) = 364560