GCF and LCM Calculator Logo

What is the Least Common Multiple of 1470 and 1477?

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 (LCM) of 1470 and 1477 is 310170.

LCM(1470,1477) = 310170

LCM Calculator and
and

Least Common Multiple of 1470 and 1477 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 1477, than apply into the LCM equation.

GCF(1470,1477) = 7
LCM(1470,1477) = ( 1470 × 1477) / 7
LCM(1470,1477) = 2171190 / 7
LCM(1470,1477) = 310170

Least Common Multiple (LCM) of 1470 and 1477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1470 and 1477. First we will calculate the prime factors of 1470 and 1477.

Prime Factorization of 1470

Prime factors of 1470 are 2, 3, 5, 7. Prime factorization of 1470 in exponential form is:

1470 = 21 × 31 × 51 × 72

Prime Factorization of 1477

Prime factors of 1477 are 7, 211. Prime factorization of 1477 in exponential form is:

1477 = 71 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 1470 and 1477.

LCM(1470,1477) = 21 × 31 × 51 × 72 × 2111
LCM(1470,1477) = 310170