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What is the Least Common Multiple of 56260 and 56275?

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 56260 and 56275 is 633206300.

LCM(56260,56275) = 633206300

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Least Common Multiple of 56260 and 56275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56260 and 56275, than apply into the LCM equation.

GCF(56260,56275) = 5
LCM(56260,56275) = ( 56260 × 56275) / 5
LCM(56260,56275) = 3166031500 / 5
LCM(56260,56275) = 633206300

Least Common Multiple (LCM) of 56260 and 56275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56260 and 56275. First we will calculate the prime factors of 56260 and 56275.

Prime Factorization of 56260

Prime factors of 56260 are 2, 5, 29, 97. Prime factorization of 56260 in exponential form is:

56260 = 22 × 51 × 291 × 971

Prime Factorization of 56275

Prime factors of 56275 are 5, 2251. Prime factorization of 56275 in exponential form is:

56275 = 52 × 22511

Now multiplying the highest exponent prime factors to calculate the LCM of 56260 and 56275.

LCM(56260,56275) = 22 × 52 × 291 × 971 × 22511
LCM(56260,56275) = 633206300