GCF and LCM Calculator Logo

What is the Least Common Multiple of 1453 and 1472?

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 1453 and 1472 is 2138816.

LCM(1453,1472) = 2138816

LCM Calculator and
and

Least Common Multiple of 1453 and 1472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1453 and 1472, than apply into the LCM equation.

GCF(1453,1472) = 1
LCM(1453,1472) = ( 1453 × 1472) / 1
LCM(1453,1472) = 2138816 / 1
LCM(1453,1472) = 2138816

Least Common Multiple (LCM) of 1453 and 1472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1453 and 1472. First we will calculate the prime factors of 1453 and 1472.

Prime Factorization of 1453

Prime factors of 1453 are 1453. Prime factorization of 1453 in exponential form is:

1453 = 14531

Prime Factorization of 1472

Prime factors of 1472 are 2, 23. Prime factorization of 1472 in exponential form is:

1472 = 26 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 1453 and 1472.

LCM(1453,1472) = 14531 × 26 × 231
LCM(1453,1472) = 2138816