What is the Least Common Multiple of 94807 and 94818?
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 94807 and 94818 is 8989410126.
LCM(94807,94818) = 8989410126
Least Common Multiple of 94807 and 94818 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94807 and 94818, than apply into the LCM equation.
GCF(94807,94818) = 1
LCM(94807,94818) = ( 94807 × 94818) / 1
LCM(94807,94818) = 8989410126 / 1
LCM(94807,94818) = 8989410126
Least Common Multiple (LCM) of 94807 and 94818 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94807 and 94818. First we will calculate the prime factors of 94807 and 94818.
Prime Factorization of 94807
Prime factors of 94807 are 113, 839. Prime factorization of 94807 in exponential form is:
94807 = 1131 × 8391
Prime Factorization of 94818
Prime factors of 94818 are 2, 3, 15803. Prime factorization of 94818 in exponential form is:
94818 = 21 × 31 × 158031
Now multiplying the highest exponent prime factors to calculate the LCM of 94807 and 94818.
LCM(94807,94818) = 1131 × 8391 × 21 × 31 × 158031
LCM(94807,94818) = 8989410126
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