GCF and LCM Calculator Logo

What is the Least Common Multiple of 56455 and 56466?

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 56455 and 56466 is 3187788030.

LCM(56455,56466) = 3187788030

LCM Calculator and
and

Least Common Multiple of 56455 and 56466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56455 and 56466, than apply into the LCM equation.

GCF(56455,56466) = 1
LCM(56455,56466) = ( 56455 × 56466) / 1
LCM(56455,56466) = 3187788030 / 1
LCM(56455,56466) = 3187788030

Least Common Multiple (LCM) of 56455 and 56466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56455 and 56466. First we will calculate the prime factors of 56455 and 56466.

Prime Factorization of 56455

Prime factors of 56455 are 5, 7, 1613. Prime factorization of 56455 in exponential form is:

56455 = 51 × 71 × 16131

Prime Factorization of 56466

Prime factors of 56466 are 2, 3, 3137. Prime factorization of 56466 in exponential form is:

56466 = 21 × 32 × 31371

Now multiplying the highest exponent prime factors to calculate the LCM of 56455 and 56466.

LCM(56455,56466) = 51 × 71 × 16131 × 21 × 32 × 31371
LCM(56455,56466) = 3187788030