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What is the Least Common Multiple of 56025 and 56033?

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 56025 and 56033 is 3139248825.

LCM(56025,56033) = 3139248825

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Least Common Multiple of 56025 and 56033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56025 and 56033, than apply into the LCM equation.

GCF(56025,56033) = 1
LCM(56025,56033) = ( 56025 × 56033) / 1
LCM(56025,56033) = 3139248825 / 1
LCM(56025,56033) = 3139248825

Least Common Multiple (LCM) of 56025 and 56033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56025 and 56033. First we will calculate the prime factors of 56025 and 56033.

Prime Factorization of 56025

Prime factors of 56025 are 3, 5, 83. Prime factorization of 56025 in exponential form is:

56025 = 33 × 52 × 831

Prime Factorization of 56033

Prime factors of 56033 are 137, 409. Prime factorization of 56033 in exponential form is:

56033 = 1371 × 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 56025 and 56033.

LCM(56025,56033) = 33 × 52 × 831 × 1371 × 4091
LCM(56025,56033) = 3139248825