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What is the Least Common Multiple of 56446 and 56460?

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 56446 and 56460 is 1593470580.

LCM(56446,56460) = 1593470580

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Least Common Multiple of 56446 and 56460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56446 and 56460, than apply into the LCM equation.

GCF(56446,56460) = 2
LCM(56446,56460) = ( 56446 × 56460) / 2
LCM(56446,56460) = 3186941160 / 2
LCM(56446,56460) = 1593470580

Least Common Multiple (LCM) of 56446 and 56460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56446 and 56460. First we will calculate the prime factors of 56446 and 56460.

Prime Factorization of 56446

Prime factors of 56446 are 2, 13, 167. Prime factorization of 56446 in exponential form is:

56446 = 21 × 132 × 1671

Prime Factorization of 56460

Prime factors of 56460 are 2, 3, 5, 941. Prime factorization of 56460 in exponential form is:

56460 = 22 × 31 × 51 × 9411

Now multiplying the highest exponent prime factors to calculate the LCM of 56446 and 56460.

LCM(56446,56460) = 22 × 132 × 1671 × 31 × 51 × 9411
LCM(56446,56460) = 1593470580