What is the Least Common Multiple of 44872 and 44877?
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 44872 and 44877 is 2013720744.
LCM(44872,44877) = 2013720744
Least Common Multiple of 44872 and 44877 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44872 and 44877, than apply into the LCM equation.
GCF(44872,44877) = 1
LCM(44872,44877) = ( 44872 × 44877) / 1
LCM(44872,44877) = 2013720744 / 1
LCM(44872,44877) = 2013720744
Least Common Multiple (LCM) of 44872 and 44877 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44872 and 44877. First we will calculate the prime factors of 44872 and 44877.
Prime Factorization of 44872
Prime factors of 44872 are 2, 71, 79. Prime factorization of 44872 in exponential form is:
44872 = 23 × 711 × 791
Prime Factorization of 44877
Prime factors of 44877 are 3, 7, 2137. Prime factorization of 44877 in exponential form is:
44877 = 31 × 71 × 21371
Now multiplying the highest exponent prime factors to calculate the LCM of 44872 and 44877.
LCM(44872,44877) = 23 × 711 × 791 × 31 × 71 × 21371
LCM(44872,44877) = 2013720744
Related Least Common Multiples of 44872
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Related Least Common Multiples of 44877
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