What is the Least Common Multiple of 1477 and 1484?

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 1477 and 1484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1477 and 1484, than apply into the LCM equation.

GCF(1477,1484) = 7
LCM(1477,1484) = ( 1477 × 1484) / 7
LCM(1477,1484) = 2191868 / 7
LCM(1477,1484) = 313124

Least Common Multiple (LCM) of 1477 and 1484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1477 and 1484. First we will calculate the prime factors of 1477 and 1484.

Prime Factorization of 1477

Prime Factorization of 1484

Now multiplying the highest exponent prime factors to calculate the LCM of 1477 and 1484.

LCM(1477,1484) = 7¹ × 211¹ × 2² × 53¹
LCM(1477,1484) = 313124