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What is the Least Common Multiple of 45656 and 45663?

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 45656 and 45663 is 2084789928.

LCM(45656,45663) = 2084789928

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Least Common Multiple of 45656 and 45663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45656 and 45663, than apply into the LCM equation.

GCF(45656,45663) = 1
LCM(45656,45663) = ( 45656 × 45663) / 1
LCM(45656,45663) = 2084789928 / 1
LCM(45656,45663) = 2084789928

Least Common Multiple (LCM) of 45656 and 45663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45656 and 45663. First we will calculate the prime factors of 45656 and 45663.

Prime Factorization of 45656

Prime factors of 45656 are 2, 13, 439. Prime factorization of 45656 in exponential form is:

45656 = 23 × 131 × 4391

Prime Factorization of 45663

Prime factors of 45663 are 3, 31, 491. Prime factorization of 45663 in exponential form is:

45663 = 31 × 311 × 4911

Now multiplying the highest exponent prime factors to calculate the LCM of 45656 and 45663.

LCM(45656,45663) = 23 × 131 × 4391 × 31 × 311 × 4911
LCM(45656,45663) = 2084789928