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What is the Least Common Multiple of 45879 and 45895?

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 45879 and 45895 is 2105616705.

LCM(45879,45895) = 2105616705

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Least Common Multiple of 45879 and 45895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45879 and 45895, than apply into the LCM equation.

GCF(45879,45895) = 1
LCM(45879,45895) = ( 45879 × 45895) / 1
LCM(45879,45895) = 2105616705 / 1
LCM(45879,45895) = 2105616705

Least Common Multiple (LCM) of 45879 and 45895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45879 and 45895. First we will calculate the prime factors of 45879 and 45895.

Prime Factorization of 45879

Prime factors of 45879 are 3, 41, 373. Prime factorization of 45879 in exponential form is:

45879 = 31 × 411 × 3731

Prime Factorization of 45895

Prime factors of 45895 are 5, 67, 137. Prime factorization of 45895 in exponential form is:

45895 = 51 × 671 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 45879 and 45895.

LCM(45879,45895) = 31 × 411 × 3731 × 51 × 671 × 1371
LCM(45879,45895) = 2105616705