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What is the Least Common Multiple of 94216 and 94236?

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 94216 and 94236 is 2219634744.

LCM(94216,94236) = 2219634744

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Least Common Multiple of 94216 and 94236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94216 and 94236, than apply into the LCM equation.

GCF(94216,94236) = 4
LCM(94216,94236) = ( 94216 × 94236) / 4
LCM(94216,94236) = 8878538976 / 4
LCM(94216,94236) = 2219634744

Least Common Multiple (LCM) of 94216 and 94236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94216 and 94236. First we will calculate the prime factors of 94216 and 94236.

Prime Factorization of 94216

Prime factors of 94216 are 2, 11777. Prime factorization of 94216 in exponential form is:

94216 = 23 × 117771

Prime Factorization of 94236

Prime factors of 94236 are 2, 3, 7853. Prime factorization of 94236 in exponential form is:

94236 = 22 × 31 × 78531

Now multiplying the highest exponent prime factors to calculate the LCM of 94216 and 94236.

LCM(94216,94236) = 23 × 117771 × 31 × 78531
LCM(94216,94236) = 2219634744