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What is the Least Common Multiple of 56225 and 56240?

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 56225 and 56240 is 632418800.

LCM(56225,56240) = 632418800

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Least Common Multiple of 56225 and 56240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56225 and 56240, than apply into the LCM equation.

GCF(56225,56240) = 5
LCM(56225,56240) = ( 56225 × 56240) / 5
LCM(56225,56240) = 3162094000 / 5
LCM(56225,56240) = 632418800

Least Common Multiple (LCM) of 56225 and 56240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56225 and 56240. First we will calculate the prime factors of 56225 and 56240.

Prime Factorization of 56225

Prime factors of 56225 are 5, 13, 173. Prime factorization of 56225 in exponential form is:

56225 = 52 × 131 × 1731

Prime Factorization of 56240

Prime factors of 56240 are 2, 5, 19, 37. Prime factorization of 56240 in exponential form is:

56240 = 24 × 51 × 191 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 56225 and 56240.

LCM(56225,56240) = 52 × 131 × 1731 × 24 × 191 × 371
LCM(56225,56240) = 632418800