GCF and LCM Calculator Logo

What is the Least Common Multiple of 56469 and 56483?

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 56469 and 56483 is 455648361.

LCM(56469,56483) = 455648361

LCM Calculator and
and

Least Common Multiple of 56469 and 56483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56469 and 56483, than apply into the LCM equation.

GCF(56469,56483) = 7
LCM(56469,56483) = ( 56469 × 56483) / 7
LCM(56469,56483) = 3189538527 / 7
LCM(56469,56483) = 455648361

Least Common Multiple (LCM) of 56469 and 56483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56469 and 56483. First we will calculate the prime factors of 56469 and 56483.

Prime Factorization of 56469

Prime factors of 56469 are 3, 7, 2689. Prime factorization of 56469 in exponential form is:

56469 = 31 × 71 × 26891

Prime Factorization of 56483

Prime factors of 56483 are 7, 8069. Prime factorization of 56483 in exponential form is:

56483 = 71 × 80691

Now multiplying the highest exponent prime factors to calculate the LCM of 56469 and 56483.

LCM(56469,56483) = 31 × 71 × 26891 × 80691
LCM(56469,56483) = 455648361