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What is the Least Common Multiple of 56421 and 56430?

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 56421 and 56430 is 353759670.

LCM(56421,56430) = 353759670

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Least Common Multiple of 56421 and 56430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56421 and 56430, than apply into the LCM equation.

GCF(56421,56430) = 9
LCM(56421,56430) = ( 56421 × 56430) / 9
LCM(56421,56430) = 3183837030 / 9
LCM(56421,56430) = 353759670

Least Common Multiple (LCM) of 56421 and 56430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56421 and 56430. First we will calculate the prime factors of 56421 and 56430.

Prime Factorization of 56421

Prime factors of 56421 are 3, 6269. Prime factorization of 56421 in exponential form is:

56421 = 32 × 62691

Prime Factorization of 56430

Prime factors of 56430 are 2, 3, 5, 11, 19. Prime factorization of 56430 in exponential form is:

56430 = 21 × 33 × 51 × 111 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 56421 and 56430.

LCM(56421,56430) = 33 × 62691 × 21 × 51 × 111 × 191
LCM(56421,56430) = 353759670