What is the Least Common Multiple of 94804 and 94811?
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 94804 and 94811 is 8988462044.
LCM(94804,94811) = 8988462044
Least Common Multiple of 94804 and 94811 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94804 and 94811, than apply into the LCM equation.
GCF(94804,94811) = 1
LCM(94804,94811) = ( 94804 × 94811) / 1
LCM(94804,94811) = 8988462044 / 1
LCM(94804,94811) = 8988462044
Least Common Multiple (LCM) of 94804 and 94811 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94804 and 94811. First we will calculate the prime factors of 94804 and 94811.
Prime Factorization of 94804
Prime factors of 94804 are 2, 137, 173. Prime factorization of 94804 in exponential form is:
94804 = 22 × 1371 × 1731
Prime Factorization of 94811
Prime factors of 94811 are 94811. Prime factorization of 94811 in exponential form is:
94811 = 948111
Now multiplying the highest exponent prime factors to calculate the LCM of 94804 and 94811.
LCM(94804,94811) = 22 × 1371 × 1731 × 948111
LCM(94804,94811) = 8988462044
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