What is the Least Common Multiple of 94858 and 94877?
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 94858 and 94877 is 8999842466.
LCM(94858,94877) = 8999842466
Least Common Multiple of 94858 and 94877 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94858 and 94877, than apply into the LCM equation.
GCF(94858,94877) = 1
LCM(94858,94877) = ( 94858 × 94877) / 1
LCM(94858,94877) = 8999842466 / 1
LCM(94858,94877) = 8999842466
Least Common Multiple (LCM) of 94858 and 94877 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94858 and 94877. First we will calculate the prime factors of 94858 and 94877.
Prime Factorization of 94858
Prime factors of 94858 are 2, 43, 1103. Prime factorization of 94858 in exponential form is:
94858 = 21 × 431 × 11031
Prime Factorization of 94877
Prime factors of 94877 are 17, 5581. Prime factorization of 94877 in exponential form is:
94877 = 171 × 55811
Now multiplying the highest exponent prime factors to calculate the LCM of 94858 and 94877.
LCM(94858,94877) = 21 × 431 × 11031 × 171 × 55811
LCM(94858,94877) = 8999842466
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