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What is the Least Common Multiple of 42844 and 42855?

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 42844 and 42855 is 1836079620.

LCM(42844,42855) = 1836079620

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Least Common Multiple of 42844 and 42855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42844 and 42855, than apply into the LCM equation.

GCF(42844,42855) = 1
LCM(42844,42855) = ( 42844 × 42855) / 1
LCM(42844,42855) = 1836079620 / 1
LCM(42844,42855) = 1836079620

Least Common Multiple (LCM) of 42844 and 42855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42844 and 42855. First we will calculate the prime factors of 42844 and 42855.

Prime Factorization of 42844

Prime factors of 42844 are 2, 10711. Prime factorization of 42844 in exponential form is:

42844 = 22 × 107111

Prime Factorization of 42855

Prime factors of 42855 are 3, 5, 2857. Prime factorization of 42855 in exponential form is:

42855 = 31 × 51 × 28571

Now multiplying the highest exponent prime factors to calculate the LCM of 42844 and 42855.

LCM(42844,42855) = 22 × 107111 × 31 × 51 × 28571
LCM(42844,42855) = 1836079620