What is the Least Common Multiple of 1470 and 1486?

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 1486 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 1486, than apply into the LCM equation.

GCF(1470,1486) = 2
LCM(1470,1486) = ( 1470 × 1486) / 2
LCM(1470,1486) = 2184420 / 2
LCM(1470,1486) = 1092210

Least Common Multiple (LCM) of 1470 and 1486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1470 and 1486. First we will calculate the prime factors of 1470 and 1486.

Prime Factorization of 1470

Prime Factorization of 1486

Now multiplying the highest exponent prime factors to calculate the LCM of 1470 and 1486.

LCM(1470,1486) = 2¹ × 3¹ × 5¹ × 7² × 743¹
LCM(1470,1486) = 1092210