What is the Least Common Multiple of 94809 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 94809 and 94818 is 2996533254.
LCM(94809,94818) = 2996533254
Least Common Multiple of 94809 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 94809 and 94818, than apply into the LCM equation.
GCF(94809,94818) = 3
LCM(94809,94818) = ( 94809 × 94818) / 3
LCM(94809,94818) = 8989599762 / 3
LCM(94809,94818) = 2996533254
Least Common Multiple (LCM) of 94809 and 94818 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94809 and 94818. First we will calculate the prime factors of 94809 and 94818.
Prime Factorization of 94809
Prime factors of 94809 are 3, 11, 13, 17. Prime factorization of 94809 in exponential form is:
94809 = 31 × 111 × 132 × 171
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 94809 and 94818.
LCM(94809,94818) = 31 × 111 × 132 × 171 × 21 × 158031
LCM(94809,94818) = 2996533254
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