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What is the Least Common Multiple of 56478 and 56488?

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 56478 and 56488 is 1595164632.

LCM(56478,56488) = 1595164632

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Least Common Multiple of 56478 and 56488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56478 and 56488, than apply into the LCM equation.

GCF(56478,56488) = 2
LCM(56478,56488) = ( 56478 × 56488) / 2
LCM(56478,56488) = 3190329264 / 2
LCM(56478,56488) = 1595164632

Least Common Multiple (LCM) of 56478 and 56488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56478 and 56488. First we will calculate the prime factors of 56478 and 56488.

Prime Factorization of 56478

Prime factors of 56478 are 2, 3, 9413. Prime factorization of 56478 in exponential form is:

56478 = 21 × 31 × 94131

Prime Factorization of 56488

Prime factors of 56488 are 2, 23, 307. Prime factorization of 56488 in exponential form is:

56488 = 23 × 231 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 56478 and 56488.

LCM(56478,56488) = 23 × 31 × 94131 × 231 × 3071
LCM(56478,56488) = 1595164632