What is the Least Common Multiple of 94855 and 94869?
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 94855 and 94869 is 8998798995.
LCM(94855,94869) = 8998798995
Least Common Multiple of 94855 and 94869 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94855 and 94869, than apply into the LCM equation.
GCF(94855,94869) = 1
LCM(94855,94869) = ( 94855 × 94869) / 1
LCM(94855,94869) = 8998798995 / 1
LCM(94855,94869) = 8998798995
Least Common Multiple (LCM) of 94855 and 94869 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94855 and 94869. First we will calculate the prime factors of 94855 and 94869.
Prime Factorization of 94855
Prime factors of 94855 are 5, 61, 311. Prime factorization of 94855 in exponential form is:
94855 = 51 × 611 × 3111
Prime Factorization of 94869
Prime factors of 94869 are 3, 83, 127. Prime factorization of 94869 in exponential form is:
94869 = 32 × 831 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 94855 and 94869.
LCM(94855,94869) = 51 × 611 × 3111 × 32 × 831 × 1271
LCM(94855,94869) = 8998798995
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