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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

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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